101101000011149 has 2 divisors, whose sum is σ = 101101000011150. Its totient is φ = 101101000011148.

The previous prime is 101101000011103. The next prime is 101101000011161. The reversal of 101101000011149 is 941110000101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79697006673124 + 21403993338025 = 8927318^2 + 4626445^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101000011149 - 2²⁴ = 101100983233933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101000011149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101000091149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500005574 + 50550500005575.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500005575).

Almost surely, 2^{101101000011149} is an apocalyptic number.

It is an amenable number.

101101000011149 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101000011149 is an equidigital number, since it uses as much as digits as its factorization.

101101000011149 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 20.

The spelling of 101101000011149 in words is "one hundred one trillion, one hundred one billion, eleven thousand, one hundred forty-nine".