102010233100113 has 24 divisors (see below), whose sum is σ = 161050981623168. Its totient is φ = 61838579876832.

The previous prime is 102010233100103. The next prime is 102010233100133. The reversal of 102010233100113 is 311001332010201.

It is not a de Polignac number, because 102010233100113 - 2²⁴ = 102010216322897 is a prime.

It is a super-3 number, since 3×102010233100113³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102010233100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6506576745 + ... + 6506592422.

It is an arithmetic number, because the mean of its divisors is an integer number (6710457567632).

Almost surely, 2^{102010233100113} is an apocalyptic number.

102010233100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102010233100113 is a deficient number, since it is larger than the sum of its proper divisors (59040748523055).

102010233100113 is a wasteful number, since it uses less digits than its factorization.

102010233100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013169253 (or 13013169250 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102010233100113 its reverse (311001332010201), we get a palindrome (413011565110314).

The spelling of 102010233100113 in words is "one hundred two trillion, ten billion, two hundred thirty-three million, one hundred thousand, one hundred thirteen".