102113233112100 has 1728 divisors, whose sum is σ = 376688462895360. Its totient is φ = 21211958476800.

The previous prime is 102113233112039. The next prime is 102113233112161. The reversal of 102113233112100 is 1211332311201.

It is an interprime number because it is at equal distance from previous prime (102113233112039) and next prime (102113233112161).

It is a super-2 number, since 2×102113233112100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 397327755172 + ... + 397327755428.

It is an arithmetic number, because the mean of its divisors is an integer number (217991008620).

Almost surely, 2^{102113233112100} is an apocalyptic number.

102113233112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102113233112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188344231447680).

102113233112100 is an abundant number, since it is smaller than the sum of its proper divisors (274575229783260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102113233112100 is a wasteful number, since it uses less digits than its factorization.

102113233112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102113233112100 its reverse (1211332311201), we get a palindrome (103324565423301).

The spelling of 102113233112100 in words is "one hundred two trillion, one hundred thirteen billion, two hundred thirty-three million, one hundred twelve thousand, one hundred".