100002201333100 has 72 divisors (see below), whose sum is σ = 236753700887088. Its totient is φ = 36361177708800.

The previous prime is 100002201333091. The next prime is 100002201333157. The reversal of 100002201333100 is 1333102200001.

It is a super-2 number, since 2×100002201333100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8221962 + ... + 16358638.

It is an arithmetic number, because the mean of its divisors is an integer number (3288245845654).

Almost surely, 2^{100002201333100} is an apocalyptic number.

100002201333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002201333100 is an abundant number, since it is smaller than the sum of its proper divisors (136751499553988).

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

100002201333100 is a wasteful number, since it uses less digits than its factorization.

100002201333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147875 (or 8147868 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100002201333100 its reverse (1333102200001), we get a palindrome (101335303533101).

The spelling of 100002201333100 in words is "one hundred trillion, two billion, two hundred one million, three hundred thirty-three thousand, one hundred".