100110102212120 has 128 divisors (see below), whose sum is σ = 302430518691840. Its totient is φ = 28802906519040.

The previous prime is 100110102212101. The next prime is 100110102212129. The reversal of 100110102212120 is 21212201011001.

It is a super-2 number, since 2×100110102212120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100110102212095 and 100110102212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110102212129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250086112 + ... + 1250166191.

It is an arithmetic number, because the mean of its divisors is an integer number (2362738427280).

Almost surely, 2^{100110102212120} is an apocalyptic number.

100110102212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110102212120 is an abundant number, since it is smaller than the sum of its proper divisors (202320416479720).

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

100110102212120 is a wasteful number, since it uses less digits than its factorization.

100110102212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500252345 (or 2500252341 counting only the distinct ones).

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

Adding to 100110102212120 its reverse (21212201011001), we get a palindrome (121322303223121).

The spelling of 100110102212120 in words is "one hundred trillion, one hundred ten billion, one hundred two million, two hundred twelve thousand, one hundred twenty".