22212122112100 has 72 divisors (see below), whose sum is σ = 48350868971328. Its totient is φ = 8857100630400.

The previous prime is 22212122112091. The next prime is 22212122112107. The reversal of 22212122112100 is 121122121222.

It is not an unprimeable number, because it can be changed into a prime (22212122112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390981897 + ... + 391038703.

It is an arithmetic number, because the mean of its divisors is an integer number (671539846824).

Almost surely, 2^{22212122112100} is an apocalyptic number.

22212122112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212122112100 is an abundant number, since it is smaller than the sum of its proper divisors (26138746859228).

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

22212122112100 is a wasteful number, since it uses less digits than its factorization.

22212122112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68965 (or 68958 counting only the distinct ones).

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

Adding to 22212122112100 its reverse (121122121222), we get a palindrome (22333244233322).

The spelling of 22212122112100 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".