101122212121019 has 2 divisors, whose sum is σ = 101122212121020. Its totient is φ = 101122212121018.

The previous prime is 101122212120991. The next prime is 101122212121141. The reversal of 101122212121019 is 910121212221101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101122212121019 - 2²⁸ = 101121943685563 is a prime.

It is a super-2 number, since 2×101122212121019² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101122212123019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561106060509 + 50561106060510.

It is an arithmetic number, because the mean of its divisors is an integer number (50561106060510).

Almost surely, 2^{101122212121019} is an apocalyptic number.

101122212121019 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122212121019 is an equidigital number, since it uses as much as digits as its factorization.

101122212121019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 101122212121019 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, nineteen".