20101100020100 has 36 divisors (see below), whose sum is σ = 47584785868368. Its totient is φ = 7309490916000.

The previous prime is 20101100020091. The next prime is 20101100020163. The reversal of 20101100020100 is 102000110102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9136862546 + ... + 9136864745.

Almost surely, 2^{20101100020100} is an apocalyptic number.

20101100020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101100020100 is an abundant number, since it is smaller than the sum of its proper divisors (27483685848268).

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

20101100020100 is a wasteful number, since it uses less digits than its factorization.

20101100020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18273727316 (or 18273727309 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20101100020100 its reverse (102000110102), we get a palindrome (20203100130202).

The spelling of 20101100020100 in words is "twenty trillion, one hundred one billion, one hundred million, twenty thousand, one hundred".