10100102320 has 120 divisors (see below), whose sum is σ = 29499174432. Its totient is φ = 3148062720.

The previous prime is 10100102297. The next prime is 10100102321. The reversal of 10100102320 is 2320100101.

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 = 10100102297 and 10100102306.

It is not an unprimeable number, because it can be changed into a prime (10100102321) 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 23 ways as a sum of consecutive naturals, for example, 6769 + ... + 142288.

Almost surely, 2^10100102320 is an apocalyptic number.

10100102320 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 10100102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14749587216).

10100102320 is an abundant number, since it is smaller than the sum of its proper divisors (19399072112).

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

10100102320 is a wasteful number, since it uses less digits than its factorization.

10100102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149099 (or 149082 counting only the distinct ones).

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

Adding to 10100102320 its reverse (2320100101), we get a palindrome (12420202421).

The spelling of 10100102320 in words is "ten billion, one hundred million, one hundred two thousand, three hundred twenty".