100212112011220 has 72 divisors (see below), whose sum is σ = 232608326378400. Its totient is φ = 36237188137920.

The previous prime is 100212112011139. The next prime is 100212112011223. The reversal of 100212112011220 is 22110211212001.

It is a junction number, because it is equal to n+sod(n) for n = 100212112011194 and 100212112011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212112011223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115237110 + ... + 116103469.

It is an arithmetic number, because the mean of its divisors is an integer number (3230671199700).

Almost surely, 2^{100212112011220} is an apocalyptic number.

100212112011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212112011220 is an abundant number, since it is smaller than the sum of its proper divisors (132396214367180).

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

100212112011220 is a wasteful number, since it uses less digits than its factorization.

100212112011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231340789 (or 231340776 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212112011220 its reverse (22110211212001), we get a palindrome (122322323223221).

The spelling of 100212112011220 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, eleven thousand, two hundred twenty".