101903748201601 has 8 divisors (see below), whose sum is σ = 102728264102240. Its totient is φ = 101080537949952.

The previous prime is 101903748201589. The next prime is 101903748201767. The reversal of 101903748201601 is 106102847309101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101903748201601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101903778201601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326255520 + ... + 326567713.

It is an arithmetic number, because the mean of its divisors is an integer number (12841033012780).

Almost surely, 2^{101903748201601} is an apocalyptic number.

It is an amenable number.

101903748201601 is a deficient number, since it is larger than the sum of its proper divisors (824515900639).

101903748201601 is a wasteful number, since it uses less digits than its factorization.

101903748201601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652824495.

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 101903748201601 in words is "one hundred one trillion, nine hundred three billion, seven hundred forty-eight million, two hundred one thousand, six hundred one".