2100120020100 has 108 divisors (see below), whose sum is σ = 6795055088640. Its totient is φ = 541966449600.

The previous prime is 2100120020099. The next prime is 2100120020153. The reversal of 2100120020100 is 10200210012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37608660 + ... + 37664459.

Almost surely, 2^{2100120020100} is an apocalyptic number.

2100120020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100120020100 is an abundant number, since it is smaller than the sum of its proper divisors (4694935068540).

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

2100120020100 is a wasteful number, since it uses less digits than its factorization.

2100120020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75273170 (or 75273160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100120020100 its reverse (10200210012), we get a palindrome (2110320230112).

The spelling of 2100120020100 in words is "two trillion, one hundred billion, one hundred twenty million, twenty thousand, one hundred".