100122110100 has 72 divisors (see below), whose sum is σ = 321874051520. Its totient is φ = 26699228640.

The previous prime is 100122110069. The next prime is 100122110111. The reversal of 100122110100 is 1011221001.

It is a happy number.

It is a super-3 number, since 3×100122110100³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 18538432 + ... + 18543831.

Almost surely, 2^100122110100 is an apocalyptic number.

100122110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122110100 is an abundant number, since it is smaller than the sum of its proper divisors (221751941420).

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

100122110100 is a wasteful number, since it uses less digits than its factorization.

100122110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37082286 (or 37082273 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100122110100 its reverse (1011221001), we get a palindrome (101133331101).

The spelling of 100122110100 in words is "one hundred billion, one hundred twenty-two million, one hundred ten thousand, one hundred".