100213101120 has 112 divisors (see below), whose sum is σ = 347101777728. Its totient is φ = 24294082560.

The previous prime is 100213101097. The next prime is 100213101143. The reversal of 100213101120 is 21101312001.

It is an interprime number because it is at equal distance from previous prime (100213101097) and next prime (100213101143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100213101096 and 100213101105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4734379 + ... + 4755498.

Almost surely, 2^100213101120 is an apocalyptic number.

100213101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213101120 is an abundant number, since it is smaller than the sum of its proper divisors (246888676608).

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

100213101120 is a wasteful number, since it uses less digits than its factorization.

100213101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489908 (or 9489898 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100213101120 its reverse (21101312001), we get a palindrome (121314413121).

The spelling of 100213101120 in words is "one hundred billion, two hundred thirteen million, one hundred one thousand, one hundred twenty".