10012102320 has 160 divisors (see below), whose sum is σ = 34774560000. Its totient is φ = 2361553920.

The previous prime is 10012102273. The next prime is 10012102363. The reversal of 10012102320 is 2320121001.

It is a super-2 number, since 2×10012102320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10012102296 and 10012102305.

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, 46431 + ... + 148929.

It is an arithmetic number, because the mean of its divisors is an integer number (217341000).

Almost surely, 2^10012102320 is an apocalyptic number.

10012102320 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 10012102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387280000).

10012102320 is an abundant number, since it is smaller than the sum of its proper divisors (24762457680).

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

10012102320 is a wasteful number, since it uses less digits than its factorization.

10012102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102563 (or 102557 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10012102320 its reverse (2320121001), we get a palindrome (12332223321).

The spelling of 10012102320 in words is "ten billion, twelve million, one hundred two thousand, three hundred twenty".