101606511412563 has 16 divisors (see below), whose sum is σ = 142856255107200. Its totient is φ = 64059752249280.

The previous prime is 101606511412537. The next prime is 101606511412579. The reversal of 101606511412563 is 365214115606101.

It is a happy number.

It is not a de Polignac number, because 101606511412563 - 2⁵ = 101606511412531 is a prime.

It is a super-2 number, since 2×101606511412563² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101606511412163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566373873 + ... + 1566438738.

It is an arithmetic number, because the mean of its divisors is an integer number (8928515944200).

Almost surely, 2^{101606511412563} is an apocalyptic number.

101606511412563 is a deficient number, since it is larger than the sum of its proper divisors (41249743694637).

101606511412563 is a wasteful number, since it uses less digits than its factorization.

101606511412563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132813202.

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 101606511412563 in words is "one hundred one trillion, six hundred six billion, five hundred eleven million, four hundred twelve thousand, five hundred sixty-three".