101014161052563 has 32 divisors (see below), whose sum is σ = 168884699788800. Its totient is φ = 59109644916000.

The previous prime is 101014161052531. The next prime is 101014161052573. The reversal of 101014161052563 is 365250161410101.

101014161052563 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 41 + 6 + 1 + 0 + 52 + 563 = 666.

It is not a de Polignac number, because 101014161052563 - 2⁵ = 101014161052531 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (101014161052573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5864043463 + ... + 5864060688.

It is an arithmetic number, because the mean of its divisors is an integer number (5277646868400).

Almost surely, 2^{101014161052563} is an apocalyptic number.

101014161052563 is a deficient number, since it is larger than the sum of its proper divisors (67870538736237).

101014161052563 is a wasteful number, since it uses less digits than its factorization.

101014161052563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11728104200 (or 11728104194 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 101014161052563 in words is "one hundred one trillion, fourteen billion, one hundred sixty-one million, fifty-two thousand, five hundred sixty-three".