2661515105121 has 16 divisors (see below), whose sum is σ = 3949702545600. Its totient is φ = 1771320661344.

The previous prime is 2661515105107. The next prime is 2661515105143. The reversal of 2661515105121 is 1215015151662.

2661515105121 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 515 + 10 + 5 + 121 = 666.

It is not a de Polignac number, because 2661515105121 - 2⁵ = 2661515105089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2661515105021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83948916 + ... + 83980613.

It is an arithmetic number, because the mean of its divisors is an integer number (246856409100).

Almost surely, 2^{2661515105121} is an apocalyptic number.

It is an amenable number.

2661515105121 is a deficient number, since it is larger than the sum of its proper divisors (1288187440479).

2661515105121 is a wasteful number, since it uses less digits than its factorization.

2661515105121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167930125 (or 167930119 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 2661515105121 in words is "two trillion, six hundred sixty-one billion, five hundred fifteen million, one hundred five thousand, one hundred twenty-one".