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10101000201021 = 32172372234331087
BaseRepresentation
bin1001001011111101001010…
…0001110110001100111101
31022202122110001221001221100
42102333102201312030331
52310443322022413041
633252200241523313
72061526126031622
oct222772241661475
938678401831840
1010101000201021
1132448a030aa34
121171784643539
1358369bc45792
1426cc68d50349
15127b3bd9d6b6
hex92fd287633d

10101000201021 has 144 divisors (see below), whose sum is σ = 16041019531264. Its totient is φ = 6119123263488.

The previous prime is 10101000201007. The next prime is 10101000201029. The reversal of 10101000201021 is 12010200010101.

It is a happy number.

It is not a de Polignac number, because 10101000201021 - 25 = 10101000200989 is a prime.

It is a super-2 number, since 2×101010002010212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101000200994 and 10101000201012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000201029) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9292547940 + ... + 9292549026.

Almost surely, 210101000201021 is an apocalyptic number.

It is an amenable number.

10101000201021 is a deficient number, since it is larger than the sum of its proper divisors (5940019330243).

10101000201021 is a wasteful number, since it uses less digits than its factorization.

10101000201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101000201021 its reverse (12010200010101), we get a palindrome (22111200211122).

The spelling of 10101000201021 in words is "ten trillion, one hundred one billion, two hundred one thousand, twenty-one".

Divisors: 1 3 9 17 37 51 111 153 223 289 333 433 629 669 867 1087 1299 1887 2007 2601 3261 3791 3897 5661 7361 8251 9783 10693 11373 16021 18479 22083 24753 32079 34119 40219 48063 55437 64447 66249 74259 96237 96559 120657 125137 140267 144189 166311 193341 242401 272357 289677 314143 361971 375411 420801 470671 580023 683723 727203 817071 869031 942429 1126233 1262403 1412013 1641503 2051169 2181609 2384539 2451213 2827287 3572683 4120817 4236039 4630069 4924509 6153507 7153617 8001407 8968837 10718049 11623291 12362451 13890207 14773527 17414827 21460851 24004221 26906511 27905551 32154147 34869873 37087353 41670621 52244481 60735611 70053889 72012663 80719533 83716653 104609619 104959633 136023919 152470229 156733443 182206833 210161667 251149959 296052059 314878899 408071757 457410687 546620499 630485001 888156177 944636697 1032505387 1224215271 1372232061 1784313761 2591993893 2664468531 3097516161 3883506421 5032885003 5352941283 7775981679 9292548483 11650519263 15098655009 16058823849 23327945037 30333333937 34951557789 45295965027 66019609157 91000001811 198058827471 273000005433 594176482413 1122333355669 3367000067007 10101000201021