10125433022100 has 288 divisors, whose sum is σ = 32334518708352. Its totient is φ = 2425939200000.

The previous prime is 10125433022071. The next prime is 10125433022143. The reversal of 10125433022100 is 122033452101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185620830 + ... + 185675370.

It is an arithmetic number, because the mean of its divisors is an integer number (112272634404).

Almost surely, 2^{10125433022100} is an apocalyptic number.

10125433022100 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 10125433022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167259354176).

10125433022100 is an abundant number, since it is smaller than the sum of its proper divisors (22209085686252).

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

10125433022100 is a wasteful number, since it uses less digits than its factorization.

10125433022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55227 (or 55220 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10125433022100 its reverse (122033452101), we get a palindrome (10247466474201).

The spelling of 10125433022100 in words is "ten trillion, one hundred twenty-five billion, four hundred thirty-three million, twenty-two thousand, one hundred".