212211021002112 has 96 divisors (see below), whose sum is σ = 666173801765160. Its totient is φ = 64306369996800.

The previous prime is 212211021002093. The next prime is 212211021002161. The reversal of 212211021002112 is 211200120112212.

212211021002112 is a `hidden beast` number, since 21 + 221 + 1 + 0 + 210 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8373212589 + ... + 8373237932.

Almost surely, 2^{212211021002112} is an apocalyptic number.

212211021002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212211021002112 is an abundant number, since it is smaller than the sum of its proper divisors (453962780763048).

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

212211021002112 is a wasteful number, since it uses less digits than its factorization.

212211021002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16746450552 (or 16746450537 counting only the distinct ones).

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

Adding to 212211021002112 its reverse (211200120112212), we get a palindrome (423411141114324).

The spelling of 212211021002112 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-one million, two thousand, one hundred twelve".