101122220111021 has 2 divisors, whose sum is σ = 101122220111022. Its totient is φ = 101122220111020.

The previous prime is 101122220110999. The next prime is 101122220111041. The reversal of 101122220111021 is 120111022221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98093276682025 + 3028943428996 = 9904205^2 + 1740386^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122220111021 - 2⁴⁶ = 30753475933357 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122220111041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561110055510 + 50561110055511.

It is an arithmetic number, because the mean of its divisors is an integer number (50561110055511).

Almost surely, 2^{101122220111021} is an apocalyptic number.

It is an amenable number.

101122220111021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122220111021 is an equidigital number, since it uses as much as digits as its factorization.

101122220111021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122220111021 its reverse (120111022221101), we get a palindrome (221233242332122).

The spelling of 101122220111021 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred eleven thousand, twenty-one".