221157751122 has 96 divisors (see below), whose sum is σ = 628856017920. Its totient is φ = 54420219360.

The previous prime is 221157751091. The next prime is 221157751127.

221157751122 is a `hidden beast` number, since 2 + 2 + 11 + 577 + 51 + 1 + 22 = 666.

221157751122 is nontrivially palindromic in base 10.

221157751122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221157751127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4172758 + ... + 4225425.

It is an arithmetic number, because the mean of its divisors is an integer number (6550583520).

Almost surely, 2^221157751122 is an apocalyptic number.

221157751122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221157751122 is an abundant number, since it is smaller than the sum of its proper divisors (407698266798).

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

221157751122 is a wasteful number, since it uses less digits than its factorization.

221157751122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398228 (or 8398225 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

It can be divided in two parts, 221157 and 751122, that added together give a palindrome (972279).

The spelling of 221157751122 in words is "two hundred twenty-one billion, one hundred fifty-seven million, seven hundred fifty-one thousand, one hundred twenty-two".