100110002121049 has 2 divisors, whose sum is σ = 100110002121050. Its totient is φ = 100110002121048.

The previous prime is 100110002120981. The next prime is 100110002121109. The reversal of 100110002121049 is 940121200011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99109352015424 + 1000650105625 = 9955368^2 + 1000325^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110002121049 - 2⁹ = 100110002120537 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110002121149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055001060524 + 50055001060525.

It is an arithmetic number, because the mean of its divisors is an integer number (50055001060525).

Almost surely, 2^{100110002121049} is an apocalyptic number.

It is an amenable number.

100110002121049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110002121049 is an equidigital number, since it uses as much as digits as its factorization.

100110002121049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 100110002121049 in words is "one hundred trillion, one hundred ten billion, two million, one hundred twenty-one thousand, forty-nine".