10402313122100 has 72 divisors (see below), whose sum is σ = 22959641738880. Its totient is φ = 4089683230720.

The previous prime is 10402313122063. The next prime is 10402313122139. The reversal of 10402313122100 is 122131320401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34109492 + ... + 34413108.

It is an arithmetic number, because the mean of its divisors is an integer number (318883913040).

Almost surely, 2^{10402313122100} is an apocalyptic number.

10402313122100 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 10402313122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479820869440).

10402313122100 is an abundant number, since it is smaller than the sum of its proper divisors (12557328616780).

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

10402313122100 is a wasteful number, since it uses less digits than its factorization.

10402313122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309497 (or 309490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10402313122100 its reverse (122131320401), we get a palindrome (10524444442501).

The spelling of 10402313122100 in words is "ten trillion, four hundred two billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred".