2100102021120 has 120 divisors (see below), whose sum is σ = 6720122165904. Its totient is φ = 560027140096.

The previous prime is 2100102021109. The next prime is 2100102021179. The reversal of 2100102021120 is 211202010012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2100102021120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2100102021096 and 2100102021105.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4026909 + ... + 4518428.

Almost surely, 2^{2100102021120} is an apocalyptic number.

2100102021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100102021120 is an abundant number, since it is smaller than the sum of its proper divisors (4620020144784).

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

2100102021120 is an frugal number, since it uses more digits than its factorization.

2100102021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8545373 (or 8545347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100102021120 its reverse (211202010012), we get a palindrome (2311304031132).

The spelling of 2100102021120 in words is "two trillion, one hundred billion, one hundred two million, twenty-one thousand, one hundred twenty".