211221220112100 has 180 divisors, whose sum is σ = 746940818696688. Its totient is φ = 51205144248000.

The previous prime is 211221220112093. The next prime is 211221220112117. The reversal of 211221220112100 is 1211022122112.

211221220112100 is a `hidden beast` number, since 2 + 1 + 1 + 221 + 220 + 11 + 210 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×211221220112100² (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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1185215166 + ... + 1185393365.

Almost surely, 2^{211221220112100} is an apocalyptic number.

211221220112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221220112100 is an abundant number, since it is smaller than the sum of its proper divisors (535719598584588).

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

211221220112100 is a wasteful number, since it uses less digits than its factorization.

211221220112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370608568 (or 2370608552 counting only the distinct ones).

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

Adding to 211221220112100 its reverse (1211022122112), we get a palindrome (212432242234212).

The spelling of 211221220112100 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred".