211222120100112 has 120 divisors (see below), whose sum is σ = 660596009961888. Its totient is φ = 62445563942400.

The previous prime is 211222120100111. The next prime is 211222120100119. The reversal of 211222120100112 is 211001021222112.

211222120100112 is a `hidden beast` number, since 211 + 2 + 221 + 20 + 100 + 112 = 666.

211222120100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211222120100112² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211222120100111) 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, 1626121618 + ... + 1626251505.

Almost surely, 2^{211222120100112} is an apocalyptic number.

211222120100112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211222120100112 is an abundant number, since it is smaller than the sum of its proper divisors (449373889861776).

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

211222120100112 is a wasteful number, since it uses less digits than its factorization.

211222120100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252373189 (or 3252373180 counting only the distinct ones).

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

Adding to 211222120100112 its reverse (211001021222112), we get a palindrome (422223141322224).

The spelling of 211222120100112 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twenty million, one hundred thousand, one hundred twelve".