101137346738101 has 4 divisors (see below), whose sum is σ = 101367727938400. Its totient is φ = 100906965537804.

The previous prime is 101137346738089. The next prime is 101137346738111. The reversal of 101137346738101 is 101837643731101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101137346738101 - 2⁵ = 101137346738069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101137346738111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115190599491 + ... + 115190600368.

It is an arithmetic number, because the mean of its divisors is an integer number (25341931984600).

Almost surely, 2^{101137346738101} is an apocalyptic number.

It is an amenable number.

101137346738101 is a deficient number, since it is larger than the sum of its proper divisors (230381200299).

101137346738101 is an equidigital number, since it uses as much as digits as its factorization.

101137346738101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230381200298.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 101137346738101 in words is "one hundred one trillion, one hundred thirty-seven billion, three hundred forty-six million, seven hundred thirty-eight thousand, one hundred one".