101516883281045 has 32 divisors (see below), whose sum is σ = 126092096776800. Its totient is φ = 78368786535424.

The previous prime is 101516883280991. The next prime is 101516883281053. The reversal of 101516883281045 is 540182388615101.

It can be written as a sum of positive squares in 16 ways, for example, as 41352629221201 + 60164254059844 = 6430601^2 + 7756562^2 .

It is a cyclic number.

It is not a de Polignac number, because 101516883281045 - 2³² = 101512588313749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3432740879 + ... + 3432770451.

It is an arithmetic number, because the mean of its divisors is an integer number (3940378024275).

Almost surely, 2^{101516883281045} is an apocalyptic number.

It is an amenable number.

101516883281045 is a deficient number, since it is larger than the sum of its proper divisors (24575213495755).

101516883281045 is a wasteful number, since it uses less digits than its factorization.

101516883281045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42169.

The product of its (nonzero) digits is 1843200, while the sum is 53.

The spelling of 101516883281045 in words is "one hundred one trillion, five hundred sixteen billion, eight hundred eighty-three million, two hundred eighty-one thousand, forty-five".