101381116054761 has 9 divisors (see below), whose sum is σ = 146439433488439. Its totient is φ = 67587390565536.

The previous prime is 101381116054747. The next prime is 101381116054769. The reversal of 101381116054761 is 167450611183101.

The square root of 101381116054761 is 10068819.

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

101381116054761 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 8 + 11 + 160 + 5 + 476 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101375195675625 + 5920379136 = 10068525^2 + 76944^2 .

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

It is not a de Polignac number, because 101381116054761 - 2¹⁵ = 101381116021993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101381116054769) 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, 28528321 + ... + 31884593.

Almost surely, 2^{101381116054761} is an apocalyptic number.

101381116054761 is the 10068819-th square number.

101381116054761 is the 5034410-th centered octagonal number.

It is an amenable number.

101381116054761 is a deficient number, since it is larger than the sum of its proper divisors (45058317433678).

101381116054761 is an frugal number, since it uses more digits than its factorization.

101381116054761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712552 (or 3356276 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 101381116054761 in words is "one hundred one trillion, three hundred eighty-one billion, one hundred sixteen million, fifty-four thousand, seven hundred sixty-one".