110120102122100 has 54 divisors (see below), whose sum is σ = 277974600654870. Its totient is φ = 37755463583040.

The previous prime is 110120102122061. The next prime is 110120102122183. The reversal of 110120102122100 is 1221201021011.

It can be written as a sum of positive squares in 3 ways, for example, as 1285257550864 + 108834844571236 = 1133692^2 + 10432394^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11236740215 + ... + 11236750014.

It is an arithmetic number, because the mean of its divisors is an integer number (5147677789905).

Almost surely, 2^{110120102122100} is an apocalyptic number.

110120102122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120102122100 is an abundant number, since it is smaller than the sum of its proper divisors (167854498532770).

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

110120102122100 is a wasteful number, since it uses less digits than its factorization.

110120102122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22473490257 (or 22473490243 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110120102122100 its reverse (1221201021011), we get a palindrome (111341303143111).

The spelling of 110120102122100 in words is "one hundred ten trillion, one hundred twenty billion, one hundred two million, one hundred twenty-two thousand, one hundred".