10112546432100 has 288 divisors, whose sum is σ = 35547274828800. Its totient is φ = 2168102592000.

The previous prime is 10112546432083. The next prime is 10112546432101. The reversal of 10112546432100 is 123464521101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10112546432101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2775211 + ... + 5284589.

It is an arithmetic number, because the mean of its divisors is an integer number (123428037600).

Almost surely, 2^{10112546432100} is an apocalyptic number.

10112546432100 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 10112546432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773637414400).

10112546432100 is an abundant number, since it is smaller than the sum of its proper divisors (25434728396700).

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

10112546432100 is a wasteful number, since it uses less digits than its factorization.

10112546432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509523 (or 2509516 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10112546432100 in words is "ten trillion, one hundred twelve billion, five hundred forty-six million, four hundred thirty-two thousand, one hundred".