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10221100220021 = 172194496136763
BaseRepresentation
bin1001010010111100100100…
…0011000011111001110101
31100012010110001022011201012
42110233021003003321311
52314430303124020041
633423301510042005
72103310251245615
oct224571103037165
940163401264635
1010221100220021
113290820679889
121190b01949305
13591acba7c192
142749bd690a45
1512ad1aa0e3eb
hex94bc90c3e75

10221100220021 has 48 divisors (see below), whose sum is σ = 11475004248000. Its totient is φ = 9077076836352.

The previous prime is 10221100220003. The next prime is 10221100220027. The reversal of 10221100220021 is 12002200112201.

10221100220021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221100220021 - 210 = 10221100218997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221100219978 and 10221100220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221100220027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1511322986 + ... + 1511329748.

It is an arithmetic number, because the mean of its divisors is an integer number (239062588500).

Almost surely, 210221100220021 is an apocalyptic number.

It is an amenable number.

10221100220021 is a deficient number, since it is larger than the sum of its proper divisors (1253904027979).

10221100220021 is a wasteful number, since it uses less digits than its factorization.

10221100220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221100220021 its reverse (12002200112201), we get a palindrome (22223300332222).

The spelling of 10221100220021 in words is "ten trillion, two hundred twenty-one billion, one hundred million, two hundred twenty thousand, twenty-one".

Divisors: 1 17 19 289 323 449 613 5491 6763 7633 8531 10421 11647 114971 128497 129761 145027 177157 197999 275237 1954507 2184449 2465459 3036587 3365983 4145719 4679029 5229503 37135633 51621979 57695153 70477223 78768661 79543493 88901551 877573643 980817601 1198112791 1339067237 1511326367 1861427831 16673899217 22764143029 31644273127 35367128789 537952643159 601241189413 10221100220021