2101100000120 has 64 divisors (see below), whose sum is σ = 5157403194240. Its totient is φ = 764012995200.

The previous prime is 2101100000119. The next prime is 2101100000123. The reversal of 2101100000120 is 210000011012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2101100000098 and 2101100000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101100000123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21692519 + ... + 21789161.

It is an arithmetic number, because the mean of its divisors is an integer number (80584424910).

Almost surely, 2^{2101100000120} is an apocalyptic number.

2101100000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101100000120 is an abundant number, since it is smaller than the sum of its proper divisors (3056303194120).

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

2101100000120 is a wasteful number, since it uses less digits than its factorization.

2101100000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146076 (or 146072 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101100000120 its reverse (210000011012), we get a palindrome (2311100011132).

The spelling of 2101100000120 in words is "two trillion, one hundred one billion, one hundred million, one hundred twenty", and thus it is an aban number.