100100561661 has 12 divisors (see below), whose sum is σ = 153094976892. Its totient is φ = 62808195456.

The previous prime is 100100561653. The next prime is 100100561663. The reversal of 100100561661 is 166165001001.

It can be written as a sum of positive squares in 2 ways, for example, as 66715790436 + 33384771225 = 258294^2 + 182715^2 .

It is not a de Polignac number, because 100100561661 - 2³ = 100100561653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100561663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327125866 + ... + 327126171.

It is an arithmetic number, because the mean of its divisors is an integer number (12757914741).

Almost surely, 2^100100561661 is an apocalyptic number.

It is an amenable number.

100100561661 is a deficient number, since it is larger than the sum of its proper divisors (52994415231).

100100561661 is a wasteful number, since it uses less digits than its factorization.

100100561661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654252060 (or 654252057 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 100100561661 its reverse (166165001001), we get a palindrome (266265562662).

The spelling of 100100561661 in words is "one hundred billion, one hundred million, five hundred sixty-one thousand, six hundred sixty-one".