101516446013221 has 8 divisors (see below), whose sum is σ = 102322090065888. Its totient is φ = 100711267254000.

The previous prime is 101516446013207. The next prime is 101516446013317. The reversal of 101516446013221 is 122310644615101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101516446013221 - 2⁵ = 101516446013189 is a prime.

It is a super-2 number, since 2×101516446013221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101516446013201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115885270 + ... + 116757991.

It is an arithmetic number, because the mean of its divisors is an integer number (12790261258236).

Almost surely, 2^{101516446013221} is an apocalyptic number.

It is an amenable number.

101516446013221 is a deficient number, since it is larger than the sum of its proper divisors (805644052667).

101516446013221 is a wasteful number, since it uses less digits than its factorization.

101516446013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232646723.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 101516446013221 in words is "one hundred one trillion, five hundred sixteen billion, four hundred forty-six million, thirteen thousand, two hundred twenty-one".