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202102122100021 = 1121313713930721977
BaseRepresentation
bin101101111100111110010001…
…001100100011010100110101
3222111120202220101020002202021
4231330332101030203110311
5202442220121224200041
61553500233321313141
760366252663331603
oct5574762114432465
9874522811202667
10202102122100021
115943a035152400
121a8008b39357b1
1388a01c0b8aa70
1437c9b1b2d4873
151857217736cd1
hexb7cf91323535

202102122100021 has 96 divisors (see below), whose sum is σ = 243514981100160. Its totient is φ = 166595013826560.

The previous prime is 202102122100007. The next prime is 202102122100051. The reversal of 202102122100021 is 120001221201202.

It is a happy number.

It is not a de Polignac number, because 202102122100021 - 25 = 202102122099989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202102122099968 and 202102122100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102122100051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9196063185 + ... + 9196085161.

It is an arithmetic number, because the mean of its divisors is an integer number (2536614386460).

Almost surely, 2202102122100021 is an apocalyptic number.

It is an amenable number.

202102122100021 is a deficient number, since it is larger than the sum of its proper divisors (41412859000139).

202102122100021 is a wasteful number, since it uses less digits than its factorization.

202102122100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22595 (or 22584 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202102122100021 its reverse (120001221201202), we get a palindrome (322103343301223).

The spelling of 202102122100021 in words is "two hundred two trillion, one hundred two billion, one hundred twenty-two million, one hundred thousand, twenty-one".

Divisors: 1 11 13 121 137 139 143 307 1507 1529 1573 1781 1807 3377 3991 16577 16819 19043 19591 19877 21977 37147 42059 42673 43901 209473 215501 218647 241747 247559 285701 462649 469403 482911 546767 554749 2304203 2659217 2723149 3010849 3054803 3142711 5089139 5163433 5846201 6014437 6102239 6746939 29954639 33119339 33602833 34569821 39141037 39712439 64308211 66158807 67124629 74216329 76000613 87710207 364312729 369631163 418508011 430551407 436836829 707390321 816379619 836006743 924330643 937824521 964812277 4603588121 4736065477 4805205119 5440604143 9196074173 10167637073 10316069731 10612935047 12016298359 12191718773 50639469331 59846645573 111844007803 113476767041 128481959377 132179281949 134108906503 658313101303 1413301553147 1453972101439 1475197971533 1670265471901 15546317084617 18372920190911 202102122100021