10129310100 has 432 divisors, whose sum is σ = 39299373568. Its totient is φ = 2125025280.

The previous prime is 10129310083. The next prime is 10129310117. The reversal of 10129310100 is 101392101.

It is an interprime number because it is at equal distance from previous prime (10129310083) and next prime (10129310117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 27600117 + ... + 27600483.

Almost surely, 2^10129310100 is an apocalyptic number.

10129310100 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 10129310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649686784).

10129310100 is an abundant number, since it is smaller than the sum of its proper divisors (29170063468).

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

10129310100 is a wasteful number, since it uses less digits than its factorization.

10129310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 10129310100 in words is "ten billion, one hundred twenty-nine million, three hundred ten thousand, one hundred".