222113013200100 has 288 divisors, whose sum is σ = 783744992110080. Its totient is φ = 53515236816000.

The previous prime is 222113013200041. The next prime is 222113013200153. The reversal of 222113013200100 is 1002310311222.

222113013200100 is a `hidden beast` number, since 2 + 2 + 211 + 30 + 1 + 320 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18099246 + ... + 27781445.

It is an arithmetic number, because the mean of its divisors is an integer number (2721336778160).

Almost surely, 2^{222113013200100} is an apocalyptic number.

222113013200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222113013200100 is an abundant number, since it is smaller than the sum of its proper divisors (561631978909980).

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

222113013200100 is a wasteful number, since it uses less digits than its factorization.

222113013200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45880888 (or 45880875 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 222113013200100 its reverse (1002310311222), we get a palindrome (223115323511322).

The spelling of 222113013200100 in words is "two hundred twenty-two trillion, one hundred thirteen billion, thirteen million, two hundred thousand, one hundred".