101611616121 has 12 divisors (see below), whose sum is σ = 146906632548. Its totient is φ = 67679093664.

The previous prime is 101611616107. The next prime is 101611616149. The reversal of 101611616121 is 121616116101.

101611616121 is a `hidden beast` number, since 1 + 0 + 16 + 11 + 616 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99436792896 + 2174823225 = 315336^2 + 46635^2 .

It is not a de Polignac number, because 101611616121 - 2⁵ = 101611616089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101611616191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5154930 + ... + 5174603.

It is an arithmetic number, because the mean of its divisors is an integer number (12242219379).

Almost surely, 2^101611616121 is an apocalyptic number.

It is an amenable number.

101611616121 is a deficient number, since it is larger than the sum of its proper divisors (45295016427).

101611616121 is a wasteful number, since it uses less digits than its factorization.

101611616121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10330632 (or 10330629 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 101611616121 in words is "one hundred one billion, six hundred eleven million, six hundred sixteen thousand, one hundred twenty-one".