10101393836361 has 45 divisors (see below), whose sum is σ = 16030353341541. Its totient is φ = 6337824352128.

The previous prime is 10101393836341. The next prime is 10101393836377. The reversal of 10101393836361 is 16363839310101.

The square root of 10101393836361 is 3178269.

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

10101393836361 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 3 + 9 + 3 + 8 + 3 + 636 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5504743595961 + 4596650240400 = 2346219^2 + 2143980^2 .

It is not a de Polignac number, because 10101393836361 - 2¹⁵ = 10101393803593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101393836321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 486264771 + ... + 486285543.

Almost surely, 2^{10101393836361} is an apocalyptic number.

10101393836361 is the 3178269-th square number.

10101393836361 is the 1589135-th centered octagonal number.

It is an amenable number.

10101393836361 is a deficient number, since it is larger than the sum of its proper divisors (5928959505180).

10101393836361 is an frugal number, since it uses more digits than its factorization.

10101393836361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41592 (or 20793 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10101393836361 in words is "ten trillion, one hundred one billion, three hundred ninety-three million, eight hundred thirty-six thousand, three hundred sixty-one".