110102122112100 has 72 divisors (see below), whose sum is σ = 318681947529120. Its totient is φ = 29349523726080.

The previous prime is 110102122112071. The next prime is 110102122112111. The reversal of 110102122112100 is 1211221201011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110102122112100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68214537 + ... + 69809936.

Almost surely, 2^{110102122112100} is an apocalyptic number.

110102122112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102122112100 is an abundant number, since it is smaller than the sum of its proper divisors (208579825417020).

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

110102122112100 is a wasteful number, since it uses less digits than its factorization.

110102122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138027149 (or 138027142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110102122112100 its reverse (1211221201011), we get a palindrome (111313343313111).

The spelling of 110102122112100 in words is "one hundred ten trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".