10100611605161 has 16 divisors (see below), whose sum is σ = 13333733274240. Its totient is φ = 7407629594880.

The previous prime is 10100611605041. The next prime is 10100611605167. The reversal of 10100611605161 is 16150611600101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100611605161 - 2³⁴ = 10083431735977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100611605167) 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, 3858139106 + ... + 3858141723.

It is an arithmetic number, because the mean of its divisors is an integer number (833358329640).

Almost surely, 2^{10100611605161} is an apocalyptic number.

10100611605161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100611605161 is a deficient number, since it is larger than the sum of its proper divisors (3233121669079).

10100611605161 is a wasteful number, since it uses less digits than its factorization.

10100611605161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716280864.

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 10100611605161 in words is "ten trillion, one hundred billion, six hundred eleven million, six hundred five thousand, one hundred sixty-one".