100100212120 has 16 divisors (see below), whose sum is σ = 225225477360. Its totient is φ = 40040084832.

The previous prime is 100100212117. The next prime is 100100212181. The reversal of 100100212120 is 21212001001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100100212097 and 100100212106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251252612 + ... + 1251252691.

It is an arithmetic number, because the mean of its divisors is an integer number (14076592335).

Almost surely, 2^100100212120 is an apocalyptic number.

100100212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100212120 is an abundant number, since it is smaller than the sum of its proper divisors (125125265240).

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

100100212120 is a wasteful number, since it uses less digits than its factorization.

100100212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502505314 (or 2502505310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100212120 its reverse (21212001001), we get a palindrome (121312213121).

The spelling of 100100212120 in words is "one hundred billion, one hundred million, two hundred twelve thousand, one hundred twenty".