101134177789401 has 9 divisors (see below), whose sum is σ = 146082744829749. Its totient is φ = 67422765079836.

The previous prime is 101134177789399. The next prime is 101134177789441. The reversal of 101134177789401 is 104987771431101.

It is a happy number.

The square root of 101134177789401 is 10056549.

It is a perfect power (a square), and thus also a powerful number.

101134177789401 is a `hidden beast` number, since 1 + 0 + 113 + 41 + 7 + 7 + 7 + 89 + 401 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 101134177789401 - 2¹ = 101134177789399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101134177789441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28493556 + ... + 31845738.

Almost surely, 2^{101134177789401} is an apocalyptic number.

101134177789401 is the 10056549-th square number.

101134177789401 is the 5028275-th centered octagonal number.

It is an amenable number.

101134177789401 is a deficient number, since it is larger than the sum of its proper divisors (44948567040348).

101134177789401 is an frugal number, since it uses more digits than its factorization.

101134177789401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704372 (or 3352186 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 101134177789401 in words is "one hundred one trillion, one hundred thirty-four billion, one hundred seventy-seven million, seven hundred eighty-nine thousand, four hundred one".