20101112002100 has 18 divisors (see below), whose sum is σ = 43619413044774. Its totient is φ = 8040444800800.

The previous prime is 20101112002099. The next prime is 20101112002159. The reversal of 20101112002100 is 120021110102.

It can be written as a sum of positive squares in 3 ways, for example, as 30246079396 + 20070865922704 = 173914^2 + 4480052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100505559911 + ... + 100505560110.

Almost surely, 2^{20101112002100} is an apocalyptic number.

20101112002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101112002100 is an abundant number, since it is smaller than the sum of its proper divisors (23518301042674).

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

20101112002100 is a wasteful number, since it uses less digits than its factorization.

20101112002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201011120035 (or 201011120028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20101112002100 its reverse (120021110102), we get a palindrome (20221133112202).

The spelling of 20101112002100 in words is "twenty trillion, one hundred one billion, one hundred twelve million, two thousand, one hundred".