100744074077401 has 8 divisors (see below), whose sum is σ = 107349624085320. Its totient is φ = 94214016069888.

The previous prime is 100744074077371. The next prime is 100744074077447. The reversal of 100744074077401 is 104770470447001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35618205673801 + 65125868403600 = 5968099^2 + 8070060^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100744074077401 - 2²¹ = 100744071980249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100744071077401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18872997346 + ... + 18873002683.

It is an arithmetic number, because the mean of its divisors is an integer number (13418703010665).

Almost surely, 2^{100744074077401} is an apocalyptic number.

It is an amenable number.

100744074077401 is a deficient number, since it is larger than the sum of its proper divisors (6605550007919).

100744074077401 is a wasteful number, since it uses less digits than its factorization.

100744074077401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37746000203.

The product of its (nonzero) digits is 614656, while the sum is 46.

The spelling of 100744074077401 in words is "one hundred trillion, seven hundred forty-four billion, seventy-four million, seventy-seven thousand, four hundred one".