100202000020100 has 144 divisors (see below), whose sum is σ = 253645449152256. Its totient is φ = 33954190080000.

The previous prime is 100202000020099. The next prime is 100202000020103. The reversal of 100202000020100 is 1020000202001.

It is not an unprimeable number, because it can be changed into a prime (100202000020103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24638012 + ... + 28415411.

It is an arithmetic number, because the mean of its divisors is an integer number (1761426730224).

Almost surely, 2^{100202000020100} is an apocalyptic number.

100202000020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202000020100 is an abundant number, since it is smaller than the sum of its proper divisors (153443449132156).

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

100202000020100 is a wasteful number, since it uses less digits than its factorization.

100202000020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53053566 (or 53053559 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100202000020100 its reverse (1020000202001), we get a palindrome (101222000222101).

The spelling of 100202000020100 in words is "one hundred trillion, two hundred two billion, twenty thousand, one hundred".