221122012212100 has 36 divisors (see below), whose sum is σ = 479840100994548. Its totient is φ = 88447821568000.

The previous prime is 221122012212097. The next prime is 221122012212109. The reversal of 221122012212100 is 1212210221122.

It can be written as a sum of positive squares in 6 ways, for example, as 20036509678656 + 201085502533444 = 4476216^2 + 14180462^2 .

It is not an unprimeable number, because it can be changed into a prime (221122012212109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3218221 + ... + 21274420.

It is an arithmetic number, because the mean of its divisors is an integer number (13328891694293).

Almost surely, 2^{221122012212100} is an apocalyptic number.

221122012212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122012212100 is an abundant number, since it is smaller than the sum of its proper divisors (258718088782448).

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

221122012212100 is a wasteful number, since it uses less digits than its factorization.

221122012212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24582936 (or 24582929 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221122012212100 its reverse (1212210221122), we get a palindrome (222334222433222).

The spelling of 221122012212100 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twelve million, two hundred twelve thousand, one hundred".