100100110109921 has 2 divisors, whose sum is σ = 100100110109922. Its totient is φ = 100100110109920.

The previous prime is 100100110109893. The next prime is 100100110109981. The reversal of 100100110109921 is 129901011001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95956992343696 + 4143117766225 = 9795764^2 + 2035465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100110109921 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100110109981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055054960 + 50050055054961.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055054961).

Almost surely, 2^{100100110109921} is an apocalyptic number.

It is an amenable number.

100100110109921 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110109921 is an equidigital number, since it uses as much as digits as its factorization.

100100110109921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 100100110109921 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred nine thousand, nine hundred twenty-one".