2100201012100 has 36 divisors (see below), whose sum is σ = 4561568290944. Its totient is φ = 839318728480.

The previous prime is 2100201012067. The next prime is 2100201012101. The reversal of 2100201012100 is 12101020012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2100201012101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9410104 + ... + 9630703.

It is an arithmetic number, because the mean of its divisors is an integer number (126710230304).

Almost surely, 2^{2100201012100} is an apocalyptic number.

2100201012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100201012100 is an abundant number, since it is smaller than the sum of its proper divisors (2461367278844).

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

2100201012100 is a wasteful number, since it uses less digits than its factorization.

2100201012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19041924 (or 19041917 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2100201012100 its reverse (12101020012), we get a palindrome (2112302032112).

The spelling of 2100201012100 in words is "two trillion, one hundred billion, two hundred one million, twelve thousand, one hundred".