100010202020100 has 180 divisors, whose sum is σ = 324199429273104. Its totient is φ = 26668904771520.

The previous prime is 100010202020089. The next prime is 100010202020171. The reversal of 100010202020100 is 1020202010001.

100010202020100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 814174887 + ... + 814297713.

Almost surely, 2^{100010202020100} is an apocalyptic number.

100010202020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010202020100 is an abundant number, since it is smaller than the sum of its proper divisors (224189227253004).

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

100010202020100 is a wasteful number, since it uses less digits than its factorization.

100010202020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223376 (or 223360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100010202020100 its reverse (1020202010001), we get a palindrome (101030404030101).

The spelling of 100010202020100 in words is "one hundred trillion, ten billion, two hundred two million, twenty thousand, one hundred".