101012122212149 has 2 divisors, whose sum is σ = 101012122212150. Its totient is φ = 101012122212148.

The previous prime is 101012122212101. The next prime is 101012122212151. The reversal of 101012122212149 is 941212221210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95427148017124 + 5584974195025 = 9768682^2 + 2363255^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012122212149 - 2²⁰ = 101012121163573 is a prime.

Together with 101012122212151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012122211149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506061106074 + 50506061106075.

It is an arithmetic number, because the mean of its divisors is an integer number (50506061106075).

Almost surely, 2^{101012122212149} is an apocalyptic number.

It is an amenable number.

101012122212149 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012122212149 is an equidigital number, since it uses as much as digits as its factorization.

101012122212149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 101012122212149 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred forty-nine".