10102001320 has 32 divisors (see below), whose sum is σ = 23925794400. Its totient is φ = 3828126528.

The previous prime is 10102001291. The next prime is 10102001323. The reversal of 10102001320 is 2310020101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10102001297 and 10102001306.

It is not an unprimeable number, because it can be changed into a prime (10102001323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6645294 + ... + 6646813.

It is an arithmetic number, because the mean of its divisors is an integer number (747681075).

Almost surely, 2^10102001320 is an apocalyptic number.

10102001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102001320 is an abundant number, since it is smaller than the sum of its proper divisors (13823793080).

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

10102001320 is a wasteful number, since it uses less digits than its factorization.

10102001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13292137 (or 13292133 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10102001320 its reverse (2310020101), we get a palindrome (12412021421).

The spelling of 10102001320 in words is "ten billion, one hundred two million, one thousand, three hundred twenty".