125251311350100 has 144 divisors (see below), whose sum is σ = 390347997573632. Its totient is φ = 30824949219840.

The previous prime is 125251311350093. The next prime is 125251311350107. The reversal of 125251311350100 is 1053113152521.

It is an interprime number because it is at equal distance from previous prime (125251311350093) and next prime (125251311350107).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125251311350107) 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, 16392834 + ... + 22786566.

Almost surely, 2^{125251311350100} is an apocalyptic number.

125251311350100 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 125251311350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195173998786816).

125251311350100 is an abundant number, since it is smaller than the sum of its proper divisors (265096686223532).

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

125251311350100 is a wasteful number, since it uses less digits than its factorization.

125251311350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398786 (or 6398779 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 125251311350100 in words is "one hundred twenty-five trillion, two hundred fifty-one billion, three hundred eleven million, three hundred fifty thousand, one hundred".