10302313332100 has 144 divisors (see below), whose sum is σ = 23821076353536. Its totient is φ = 3854011392000.

The previous prime is 10302313332071. The next prime is 10302313332109. The reversal of 10302313332100 is 123331320301.

It is a super-2 number, since 2×10302313332100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10302313332109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189663945 + ... + 189718255.

It is an arithmetic number, because the mean of its divisors is an integer number (165424141344).

Almost surely, 2^{10302313332100} is an apocalyptic number.

10302313332100 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 10302313332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910538176768).

10302313332100 is an abundant number, since it is smaller than the sum of its proper divisors (13518763021436).

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

10302313332100 is a wasteful number, since it uses less digits than its factorization.

10302313332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55046 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10302313332100 its reverse (123331320301), we get a palindrome (10425644652401).

The spelling of 10302313332100 in words is "ten trillion, three hundred two billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred".