100200020991900 has 144 divisors (see below), whose sum is σ = 295339820375040. Its totient is φ = 26223801926400.

The previous prime is 100200020991817. The next prime is 100200020991949. The reversal of 100200020991900 is 9199020002001.

It is a super-2 number, since 2×100200020991900² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8700331 + ... + 16616130.

Almost surely, 2^{100200020991900} is an apocalyptic number.

100200020991900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200020991900 is an abundant number, since it is smaller than the sum of its proper divisors (195139799383140).

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

100200020991900 is a wasteful number, since it uses less digits than its factorization.

100200020991900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25316724 (or 25316717 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

Adding to 100200020991900 its reverse (9199020002001), we get a palindrome (109399040993901).

The spelling of 100200020991900 in words is "one hundred trillion, two hundred billion, twenty million, nine hundred ninety-one thousand, nine hundred".