101101100661 has 24 divisors (see below), whose sum is σ = 162316698336. Its totient is φ = 60117289440.

The previous prime is 101101100657. The next prime is 101101100669. The reversal of 101101100661 is 166001101101.

101101100661 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 0 + 661 = 666.

It is not a de Polignac number, because 101101100661 - 2² = 101101100657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101100669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9628935 + ... + 9639428.

It is an arithmetic number, because the mean of its divisors is an integer number (6763195764).

Almost surely, 2^101101100661 is an apocalyptic number.

101101100661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101100661 is a deficient number, since it is larger than the sum of its proper divisors (61215597675).

101101100661 is a wasteful number, since it uses less digits than its factorization.

101101100661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19268433 (or 19268430 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101101100661 its reverse (166001101101), we get a palindrome (267102201762).

The spelling of 101101100661 in words is "one hundred one billion, one hundred one million, one hundred thousand, six hundred sixty-one".