101257314125 has 16 divisors (see below), whose sum is σ = 137857232448. Its totient is φ = 73641682000.

The previous prime is 101257314097. The next prime is 101257314127. The reversal of 101257314125 is 521413752101.

It is not a de Polignac number, because 101257314125 - 2¹² = 101257310029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101257314091 and 101257314100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101257314127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36819467 + ... + 36822216.

It is an arithmetic number, because the mean of its divisors is an integer number (8616077028).

Almost surely, 2^101257314125 is an apocalyptic number.

It is an amenable number.

101257314125 is a deficient number, since it is larger than the sum of its proper divisors (36599918323).

101257314125 is an equidigital number, since it uses as much as digits as its factorization.

101257314125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73641709 (or 73641699 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 101257314125 in words is "one hundred one billion, two hundred fifty-seven million, three hundred fourteen thousand, one hundred twenty-five".