125427402100 has 324 divisors, whose sum is σ = 374807763372. Its totient is φ = 36084787200.

The previous prime is 125427402073. The next prime is 125427402103. The reversal of 125427402100 is 1204724521.

It can be written as a sum of positive squares in 6 ways, for example, as 187854436 + 125239547664 = 13706^2 + 353892^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125427402103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7699564 + ... + 7715836.

Almost surely, 2^125427402100 is an apocalyptic number.

125427402100 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 125427402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187403881686).

125427402100 is an abundant number, since it is smaller than the sum of its proper divisors (249380361272).

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

125427402100 is a wasteful number, since it uses less digits than its factorization.

125427402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16336 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 125427402100 in words is "one hundred twenty-five billion, four hundred twenty-seven million, four hundred two thousand, one hundred".