100113213221 has 32 divisors (see below), whose sum is σ = 120315740160. Its totient is φ = 81498700800.

The previous prime is 100113213209. The next prime is 100113213241. The reversal of 100113213221 is 122312311001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113213221 is a prime.

It is a super-2 number, since 2×100113213221² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100113213221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113213241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3927365 + ... + 3952773.

It is an arithmetic number, because the mean of its divisors is an integer number (3759866880).

Almost surely, 2^100113213221 is an apocalyptic number.

It is an amenable number.

100113213221 is a deficient number, since it is larger than the sum of its proper divisors (20202526939).

100113213221 is a wasteful number, since it uses less digits than its factorization.

100113213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25785.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100113213221 its reverse (122312311001), we get a palindrome (222425524222).

The spelling of 100113213221 in words is "one hundred billion, one hundred thirteen million, two hundred thirteen thousand, two hundred twenty-one".