221211122012100 has 216 divisors, whose sum is σ = 776851429867968. Its totient is φ = 52177561862400.

The previous prime is 221211122012059. The next prime is 221211122012107. The reversal of 221211122012100 is 1210221112122.

221211122012100 is a `hidden beast` number, since 2 + 21 + 211 + 1 + 220 + 1 + 210 + 0 = 666.

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 (221211122012107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301587184 + ... + 302319783.

Almost surely, 2^{221211122012100} is an apocalyptic number.

221211122012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211122012100 is an abundant number, since it is smaller than the sum of its proper divisors (555640307855868).

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

221211122012100 is a wasteful number, since it uses less digits than its factorization.

221211122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603907035 (or 603907025 counting only the distinct ones).

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

Adding to 221211122012100 its reverse (1210221112122), we get a palindrome (222421343124222).

The spelling of 221211122012100 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-two million, twelve thousand, one hundred".