20101010012100 has 72 divisors (see below), whose sum is σ = 64621024788320. Its totient is φ = 5360269335840.

The previous prime is 20101010012071. The next prime is 20101010012107. The reversal of 20101010012100 is 121001010102.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20101010012107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3722406562 + ... + 3722411961.

Almost surely, 2^{20101010012100} is an apocalyptic number.

20101010012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101010012100 is an abundant number, since it is smaller than the sum of its proper divisors (44520014776220).

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

20101010012100 is a wasteful number, since it uses less digits than its factorization.

20101010012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7444818546 (or 7444818533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101010012100 its reverse (121001010102), we get a palindrome (20222011022202).

The spelling of 20101010012100 in words is "twenty trillion, one hundred one billion, ten million, twelve thousand, one hundred".