10102101022320 has 160 divisors (see below), whose sum is σ = 32168091491328. Its totient is φ = 2620663041024.

The previous prime is 10102101022267. The next prime is 10102101022339. The reversal of 10102101022320 is 2322010120101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102101022320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56983257 + ... + 57160263.

Almost surely, 2^{10102101022320} is an apocalyptic number.

10102101022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102101022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084045745664).

10102101022320 is an abundant number, since it is smaller than the sum of its proper divisors (22065990469008).

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

10102101022320 is a wasteful number, since it uses less digits than its factorization.

10102101022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183487 (or 183481 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10102101022320 its reverse (2322010120101), we get a palindrome (12424111142421).

The spelling of 10102101022320 in words is "ten trillion, one hundred two billion, one hundred one million, twenty-two thousand, three hundred twenty".