100202102221100 has 72 divisors (see below), whose sum is σ = 244857500783616. Its totient is φ = 35261736840000.

The previous prime is 100202102221087. The next prime is 100202102221147. The reversal of 100202102221100 is 1122201202001.

It is a super-3 number, since 3×100202102221100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1469204936 + ... + 1469273135.

Almost surely, 2^{100202102221100} is an apocalyptic number.

100202102221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202102221100 is an abundant number, since it is smaller than the sum of its proper divisors (144655398562516).

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

100202102221100 is a wasteful number, since it uses less digits than its factorization.

100202102221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938478127 (or 2938478120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100202102221100 its reverse (1122201202001), we get a palindrome (101324303423101).

The spelling of 100202102221100 in words is "one hundred trillion, two hundred two billion, one hundred two million, two hundred twenty-one thousand, one hundred".