2101107642560 has 56 divisors (see below), whose sum is σ = 5059479075840. Its totient is φ = 830999865344.

The previous prime is 2101107642527. The next prime is 2101107642659. The reversal of 2101107642560 is 652467011012.

It is a self number, because there is not a number n which added to its sum of digits gives 2101107642560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36858944 + ... + 36915903.

It is an arithmetic number, because the mean of its divisors is an integer number (90347840640).

Almost surely, 2^{2101107642560} is an apocalyptic number.

2101107642560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101107642560 is an abundant number, since it is smaller than the sum of its proper divisors (2958371433280).

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

2101107642560 is an equidigital number, since it uses as much as digits as its factorization.

2101107642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73774953 (or 73774943 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 2101107642560 in words is "two trillion, one hundred one billion, one hundred seven million, six hundred forty-two thousand, five hundred sixty".