101122011010019 has 2 divisors, whose sum is σ = 101122011010020. Its totient is φ = 101122011010018.

The previous prime is 101122011010001. The next prime is 101122011010021. The reversal of 101122011010019 is 910010110221101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101122011010019 - 2¹⁶ = 101122010944483 is a prime.

It is a super-2 number, since 2×101122011010019² (a number of 29 digits) contains 22 as substring.

Together with 101122011010021, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101122011010049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561005505009 + 50561005505010.

It is an arithmetic number, because the mean of its divisors is an integer number (50561005505010).

Almost surely, 2^{101122011010019} is an apocalyptic number.

101122011010019 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122011010019 is an equidigital number, since it uses as much as digits as its factorization.

101122011010019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 101122011010019 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, ten thousand, nineteen".