100212221100120 has 64 divisors (see below), whose sum is σ = 300637424556000. Its totient is φ = 26723191292928.

The previous prime is 100212221100119. The next prime is 100212221100203. The reversal of 100212221100120 is 21001122212001.

It is a super-2 number, since 2×100212221100120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100212221100120.

It is a congruent number.

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, 62268946 + ... + 63858014.

Almost surely, 2^{100212221100120} is an apocalyptic number.

100212221100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212221100120 is an abundant number, since it is smaller than the sum of its proper divisors (200425203455880).

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

100212221100120 is a wasteful number, since it uses less digits than its factorization.

100212221100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114612 (or 2114608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100212221100120 its reverse (21001122212001), we get a palindrome (121213343312121).

The spelling of 100212221100120 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, one hundred thousand, one hundred twenty".