12100766653101 has 32 divisors (see below), whose sum is σ = 18543366604800. Its totient is φ = 6875744258880.

The previous prime is 12100766653099. The next prime is 12100766653211. The reversal of 12100766653101 is 10135666700121.

It is not a de Polignac number, because 12100766653101 - 2¹ = 12100766653099 is a prime.

It is a super-3 number, since 3×12100766653101³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12100766653101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100766653501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3682720 + ... + 6145238.

It is an arithmetic number, because the mean of its divisors is an integer number (579480206400).

Almost surely, 2^{12100766653101} is an apocalyptic number.

It is an amenable number.

12100766653101 is a deficient number, since it is larger than the sum of its proper divisors (6442599951699).

12100766653101 is a wasteful number, since it uses less digits than its factorization.

12100766653101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463849.

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 12100766653101 in words is "twelve trillion, one hundred billion, seven hundred sixty-six million, six hundred fifty-three thousand, one hundred one".