100202201121 has 64 divisors (see below), whose sum is σ = 157335552000. Its totient is φ = 56069858880.

The previous prime is 100202201119. The next prime is 100202201131. The reversal of 100202201121 is 121102202001.

It is not a de Polignac number, because 100202201121 - 2¹ = 100202201119 is a prime.

It is a super-2 number, since 2×100202201121² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100202201097 and 100202201106.

It is not an unprimeable number, because it can be changed into a prime (100202201131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12910440 + ... + 12918198.

It is an arithmetic number, because the mean of its divisors is an integer number (2458368000).

Almost surely, 2^100202201121 is an apocalyptic number.

100202201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100202201121 is a deficient number, since it is larger than the sum of its proper divisors (57133350879).

100202201121 is a wasteful number, since it uses less digits than its factorization.

100202201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100202201121 its reverse (121102202001), we get a palindrome (221304403122).

The spelling of 100202201121 in words is "one hundred billion, two hundred two million, two hundred one thousand, one hundred twenty-one".