2101002211968 has 64 divisors (see below), whose sum is σ = 6088131421920. Its totient is φ = 636667335680.

The previous prime is 2101002211943. The next prime is 2101002211969. The reversal of 2101002211968 is 8691122001012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2101002211969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248693955 + ... + 248702402.

Almost surely, 2^{2101002211968} is an apocalyptic number.

It is an amenable number.

2101002211968 is an abundant number, since it is smaller than the sum of its proper divisors (3987129209952).

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

2101002211968 is a wasteful number, since it uses less digits than its factorization.

2101002211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497396385 (or 497396373 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 2101002211968 in words is "two trillion, one hundred one billion, two million, two hundred eleven thousand, nine hundred sixty-eight".