102257426132751 has 16 divisors (see below), whose sum is σ = 136641945728000. Its totient is φ = 68022271104480.

The previous prime is 102257426132717. The next prime is 102257426132777. The reversal of 102257426132751 is 157231624752201.

It is not a de Polignac number, because 102257426132751 - 2¹³ = 102257426124559 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102257426132751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102257426152751) 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, 44364366 + ... + 46612356.

It is an arithmetic number, because the mean of its divisors is an integer number (8540121608000).

Almost surely, 2^{102257426132751} is an apocalyptic number.

102257426132751 is a deficient number, since it is larger than the sum of its proper divisors (34384519595249).

102257426132751 is a wasteful number, since it uses less digits than its factorization.

102257426132751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281206.

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 102257426132751 in words is "one hundred two trillion, two hundred fifty-seven billion, four hundred twenty-six million, one hundred thirty-two thousand, seven hundred fifty-one".