222125114204100 has 216 divisors, whose sum is σ = 696818406644360. Its totient is φ = 59184069120000.

The previous prime is 222125114204087. The next prime is 222125114204107. The reversal of 222125114204100 is 1402411521222.

222125114204100 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 2 + 511 + 42 + 0 + 4 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1397280028356 + 220727834175744 = 1182066^2 + 14856912^2 .

It is a super-4 number, since 4×222125114204100⁴ (a number of 58 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (222125114204107) 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, 13268321730 + ... + 13268338470.

Almost surely, 2^{222125114204100} is an apocalyptic number.

222125114204100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222125114204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348409203322180).

222125114204100 is an abundant number, since it is smaller than the sum of its proper divisors (474693292440260).

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

222125114204100 is a wasteful number, since it uses less digits than its factorization.

222125114204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28151 (or 28141 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 222125114204100 its reverse (1402411521222), we get a palindrome (223527525725322).

The spelling of 222125114204100 in words is "two hundred twenty-two trillion, one hundred twenty-five billion, one hundred fourteen million, two hundred four thousand, one hundred".