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102201212202021 = 32891393739245501
BaseRepresentation
bin10111001111001110010010…
…111100101110110000100101
3111101212100012012102022022100
4113033032102330232300211
5101343431040310431041
61001210331055322313
730345536212143102
oct2717162274566045
9441770165368270
10102201212202021
112a6233219a9509
12b567343220399
1345046c0ba388a
141b347ca76baa9
15bc374c36c6b6
hex5cf392f2ec25

102201212202021 has 48 divisors (see below), whose sum is σ = 150397471224000. Its totient is φ = 66865762656000.

The previous prime is 102201212202017. The next prime is 102201212202029. The reversal of 102201212202021 is 120202212102201.

It is a happy number.

102201212202021 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 21 + 220 + 202 + 1 = 666.

It is not a de Polignac number, because 102201212202021 - 22 = 102201212202017 is a prime.

It is a super-2 number, since 2×1022012122020212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201212201985 and 102201212202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201212202029) 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, 416173771 + ... + 416419271.

It is an arithmetic number, because the mean of its divisors is an integer number (3133280650500).

Almost surely, 2102201212202021 is an apocalyptic number.

It is an amenable number.

102201212202021 is a deficient number, since it is larger than the sum of its proper divisors (48196259021979).

102201212202021 is a wasteful number, since it uses less digits than its factorization.

102201212202021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249474 (or 249471 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102201212202021 its reverse (120202212102201), we get a palindrome (222403424304222).

The spelling of 102201212202021 in words is "one hundred two trillion, two hundred one billion, two hundred twelve million, two hundred two thousand, twenty-one".

Divisors: 1 3 9 89 139 267 417 801 1251 3739 11217 12371 33651 37113 111339 245501 332771 519721 736503 998313 1559163 2209509 2994939 4677489 21849589 34124639 46255169 65548767 102373917 138765507 196646301 307121751 416296521 917928239 2753784717 3037092871 8261354151 9111278613 27333835839 81695613271 127592025221 245086839813 382776075663 735260519439 1148328226989 11355690244669 34067070734007 102201212202021