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10202021101221 = 3376188710191667
BaseRepresentation
bin1001010001110101011111…
…0101111111111010100101
31100010022012101120111222120
42110131113311333322211
52314122214400214341
633410424354220153
72102033410356555
oct224352765777245
940108171514876
1010202021101221
11328371aa44504
121189278284659
1359007b0cc481
14273acd7dd165
1512a5a0a47066
hex94757d7fea5

10202021101221 has 64 divisors (see below), whose sum is σ = 14237851576320. Its totient is φ = 6491427989760.

The previous prime is 10202021101211. The next prime is 10202021101231. The reversal of 10202021101221 is 12210112020201.

It is an interprime number because it is at equal distance from previous prime (10202021101211) and next prime (10202021101231).

It is not a de Polignac number, because 10202021101221 - 210 = 10202021100197 is a prime.

It is a super-3 number, since 3×102020211012213 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202021101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202021101211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6119987830 + ... + 6119989496.

It is an arithmetic number, because the mean of its divisors is an integer number (222466430880).

Almost surely, 210202021101221 is an apocalyptic number.

It is an amenable number.

10202021101221 is a deficient number, since it is larger than the sum of its proper divisors (4035830475099).

10202021101221 is a wasteful number, since it uses less digits than its factorization.

10202021101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202021101221 its reverse (12210112020201), we get a palindrome (22412133121422).

The spelling of 10202021101221 in words is "ten trillion, two hundred two billion, twenty-one million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 37 61 111 183 887 1019 1667 2257 2661 3057 5001 6771 32819 37703 54107 61679 62159 98457 101687 113109 162321 185037 186477 305061 903853 1478629 1698673 2001959 2299883 2711559 3762419 4435887 5096019 6005877 6899649 11287257 33442561 54709273 55135033 62850901 90196369 100327683 103619053 164127819 165405099 188552703 270589107 310857159 1506722951 2039996221 3337265653 3833904961 4520168853 6119988663 10011796959 11501714883 55748749187 91910100011 167246247561 275730300033 3400673700407 10202021101221