101122014021101 has 2 divisors, whose sum is σ = 101122014021102. Its totient is φ = 101122014021100.

The previous prime is 101122014021079. The next prime is 101122014021103. The reversal of 101122014021101 is 101120410221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57647969575876 + 43474044445225 = 7592626^2 + 6593485^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122014021101 - 2¹⁰ = 101122014020077 is a prime.

Together with 101122014021103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122014021101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122014021103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561007010550 + 50561007010551.

It is an arithmetic number, because the mean of its divisors is an integer number (50561007010551).

Almost surely, 2^{101122014021101} is an apocalyptic number.

It is an amenable number.

101122014021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122014021101 is an equidigital number, since it uses as much as digits as its factorization.

101122014021101 is an evil number, because the sum of its binary digits is even.

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

Adding to 101122014021101 its reverse (101120410221101), we get a palindrome (202242424242202).

The spelling of 101122014021101 in words is "one hundred one trillion, one hundred twenty-two billion, fourteen million, twenty-one thousand, one hundred one".