102113112210100 has 36 divisors (see below), whose sum is σ = 222635621567968. Its totient is φ = 40651665516000.

The previous prime is 102113112210077. The next prime is 102113112210107. The reversal of 102113112210100 is 1012211311201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113112210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2419720896 + ... + 2419763095.

Almost surely, 2^{102113112210100} is an apocalyptic number.

102113112210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102113112210100 is an abundant number, since it is smaller than the sum of its proper divisors (120522509357868).

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

102113112210100 is a wasteful number, since it uses less digits than its factorization.

102113112210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839484216 (or 4839484209 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 102113112210100 its reverse (1012211311201), we get a palindrome (103125323521301).

The spelling of 102113112210100 in words is "one hundred two trillion, one hundred thirteen billion, one hundred twelve million, two hundred ten thousand, one hundred".