100212111221220 has 48 divisors (see below), whose sum is σ = 311771012689920. Its totient is φ = 26723229658848.

The previous prime is 100212111221197. The next prime is 100212111221227. The reversal of 100212111221220 is 22122111212001.

100212111221220 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 1 + 11 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100212111221193 and 100212111221202.

It is not an unprimeable number, because it can be changed into a prime (100212111221227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92788991332 + ... + 92788992411.

It is an arithmetic number, because the mean of its divisors is an integer number (6495229431040).

Almost surely, 2^{100212111221220} is an apocalyptic number.

100212111221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212111221220 is an abundant number, since it is smaller than the sum of its proper divisors (211558901468700).

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

100212111221220 is a wasteful number, since it uses less digits than its factorization.

100212111221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185577983761 (or 185577983753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100212111221220 its reverse (22122111212001), we get a palindrome (122334222433221).

The spelling of 100212111221220 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twenty".