110101000999901 has 2 divisors, whose sum is σ = 110101000999902. Its totient is φ = 110101000999900.

The previous prime is 110101000999861. The next prime is 110101000999939. The reversal of 110101000999901 is 109999000101011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62817513062500 + 47283487937401 = 7925750^2 + 6876299^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110101000999901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101000992901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050500499950 + 55050500499951.

It is an arithmetic number, because the mean of its divisors is an integer number (55050500499951).

Almost surely, 2^{110101000999901} is an apocalyptic number.

It is an amenable number.

110101000999901 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101000999901 is an equidigital number, since it uses as much as digits as its factorization.

110101000999901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 41.

The spelling of 110101000999901 in words is "one hundred ten trillion, one hundred one billion, nine hundred ninety-nine thousand, nine hundred one".