20101001001100 has 72 divisors (see below), whose sum is σ = 44684487697248. Its totient is φ = 7844041459200.

The previous prime is 20101001001097. The next prime is 20101001001181. The reversal of 20101001001100 is 110010010102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175640097 + ... + 175754503.

It is an arithmetic number, because the mean of its divisors is an integer number (620617884684).

Almost surely, 2^{20101001001100} is an apocalyptic number.

20101001001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101001001100 is an abundant number, since it is smaller than the sum of its proper divisors (24583486696148).

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

20101001001100 is a wasteful number, since it uses less digits than its factorization.

20101001001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157315 (or 157308 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 20101001001100 its reverse (110010010102), we get a palindrome (20211011011202).

The spelling of 20101001001100 in words is "twenty trillion, one hundred one billion, one million, one thousand, one hundred".