101122210101929 has 2 divisors, whose sum is σ = 101122210101930. Its totient is φ = 101122210101928.

The previous prime is 101122210101919. The next prime is 101122210101961. The reversal of 101122210101929 is 929101012221101.

It is an a-pointer prime, because the next prime (101122210101961) can be obtained adding 101122210101929 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93696301699225 + 7425908402704 = 9679685^2 + 2725052^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122210101929 - 2³² = 101117915134633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122210101895 and 101122210101904.

It is not a weakly prime, because it can be changed into another prime (101122210101919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561105050964 + 50561105050965.

It is an arithmetic number, because the mean of its divisors is an integer number (50561105050965).

Almost surely, 2^{101122210101929} is an apocalyptic number.

It is an amenable number.

101122210101929 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122210101929 is an equidigital number, since it uses as much as digits as its factorization.

101122210101929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 101122210101929 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred ten million, one hundred one thousand, nine hundred twenty-nine".