101616213665511 has 64 divisors (see below), whose sum is σ = 158616201600000. Its totient is φ = 64117790545536.

The previous prime is 101616213665497. The next prime is 101616213665543. The reversal of 101616213665511 is 115566312616101.

101616213665511 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 62 + 1 + 36 + 6 + 551 + 1 = 666.

It is not a de Polignac number, because 101616213665511 - 2⁵ = 101616213665479 is a prime.

It is a super-3 number, since 3×101616213665511³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101616213665581) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2457029245 + ... + 2457070601.

It is an arithmetic number, because the mean of its divisors is an integer number (2478378150000).

Almost surely, 2^{101616213665511} is an apocalyptic number.

101616213665511 is a deficient number, since it is larger than the sum of its proper divisors (56999987934489).

101616213665511 is a wasteful number, since it uses less digits than its factorization.

101616213665511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45813 (or 45807 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 101616213665511 in words is "one hundred one trillion, six hundred sixteen billion, two hundred thirteen million, six hundred sixty-five thousand, five hundred eleven".