2072165202100 has 36 divisors (see below), whose sum is σ = 5138969702944. Its totient is φ = 710456640480.

The previous prime is 2072165202073. The next prime is 2072165202119. The reversal of 2072165202100 is 12025612702.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1480117302 + ... + 1480118701.

Almost surely, 2^{2072165202100} is an apocalyptic number.

2072165202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072165202100 is an abundant number, since it is smaller than the sum of its proper divisors (3066804500844).

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

2072165202100 is a wasteful number, since it uses less digits than its factorization.

2072165202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960236024 (or 2960236017 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 2072165202100 in words is "two trillion, seventy-two billion, one hundred sixty-five million, two hundred two thousand, one hundred".