101371350401 has 8 divisors (see below), whose sum is σ = 104796522600. Its totient is φ = 97991544960.

The previous prime is 101371350383. The next prime is 101371350407. The reversal of 101371350401 is 104053173101.

It can be written as a sum of positive squares in 4 ways, for example, as 21509155600 + 79862194801 = 146660^2 + 282599^2 .

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-101371350401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101371350407) 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, 11337146 + ... + 11346083.

It is an arithmetic number, because the mean of its divisors is an integer number (13099565325).

Almost surely, 2^101371350401 is an apocalyptic number.

It is an amenable number.

101371350401 is a deficient number, since it is larger than the sum of its proper divisors (3425172199).

101371350401 is a wasteful number, since it uses less digits than its factorization.

101371350401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22683379.

The product of its (nonzero) digits is 1260, while the sum is 26.

The spelling of 101371350401 in words is "one hundred one billion, three hundred seventy-one million, three hundred fifty thousand, four hundred one".