110102102112100 has 72 divisors (see below), whose sum is σ = 273143127373760. Its totient is φ = 37736861627520.

The previous prime is 110102102112097. The next prime is 110102102112133. The reversal of 110102102112100 is 1211201201011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23769510 + ... + 28021309.

Almost surely, 2^{110102102112100} is an apocalyptic number.

110102102112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102102112100 is an abundant number, since it is smaller than the sum of its proper divisors (163041025261660).

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

110102102112100 is a wasteful number, since it uses less digits than its factorization.

110102102112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51793877 (or 51793870 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110102102112100 its reverse (1211201201011), we get a palindrome (111313303313111).

The spelling of 110102102112100 in words is "one hundred ten trillion, one hundred two billion, one hundred two million, one hundred twelve thousand, one hundred".