101255148732353 has 64 divisors (see below), whose sum is σ = 127663225804800. Its totient is φ = 78015939471360.

The previous prime is 101255148732341. The next prime is 101255148732407. The reversal of 101255148732353 is 353237841552101.

It is not a de Polignac number, because 101255148732353 - 2⁸ = 101255148732097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101255148732653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2749015025 + ... + 2749051857.

It is an arithmetic number, because the mean of its divisors is an integer number (1994737903200).

Almost surely, 2^{101255148732353} is an apocalyptic number.

It is an amenable number.

101255148732353 is a deficient number, since it is larger than the sum of its proper divisors (26408077072447).

101255148732353 is a wasteful number, since it uses less digits than its factorization.

101255148732353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38022.

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 101255148732353 in words is "one hundred one trillion, two hundred fifty-five billion, one hundred forty-eight million, seven hundred thirty-two thousand, three hundred fifty-three".