100100111001661 has 2 divisors, whose sum is σ = 100100111001662. Its totient is φ = 100100111001660.

The previous prime is 100100111001619. The next prime is 100100111001703. The reversal of 100100111001661 is 166100111001001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (100100111001619) and next prime (100100111001703).

It can be written as a sum of positive squares in only one way, i.e., 50982370357636 + 49117740644025 = 7140194^2 + 7008405^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100111001661 - 2²⁹ = 100099574130749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100111001061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055500830 + 50050055500831.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055500831).

Almost surely, 2^{100100111001661} is an apocalyptic number.

It is an amenable number.

100100111001661 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100111001661 is an equidigital number, since it uses as much as digits as its factorization.

100100111001661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 100100111001661 its reverse (166100111001001), we get a palindrome (266200222002662).

The spelling of 100100111001661 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one thousand, six hundred sixty-one".