10201808372028 has 144 divisors (see below), whose sum is σ = 29461955523840. Its totient is φ = 2690269051392.

The previous prime is 10201808372009. The next prime is 10201808372051. The reversal of 10201808372028 is 82027380810201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135377976 + ... + 135453312.

It is an arithmetic number, because the mean of its divisors is an integer number (204596913360).

Almost surely, 2^{10201808372028} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201808372028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14730977761920).

10201808372028 is an abundant number, since it is smaller than the sum of its proper divisors (19260147151812).

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

10201808372028 is a wasteful number, since it uses less digits than its factorization.

10201808372028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84916 (or 84901 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 10201808372028 in words is "ten trillion, two hundred one billion, eight hundred eight million, three hundred seventy-two thousand, twenty-eight".