122100111020101 has 2 divisors, whose sum is σ = 122100111020102. Its totient is φ = 122100111020100.

The previous prime is 122100111020089. The next prime is 122100111020119. The reversal of 122100111020101 is 101020111001221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61962102303201 + 60138008716900 = 7871601^2 + 7754870^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100111020101 - 2¹⁵ = 122100110987333 is a prime.

It is a super-2 number, since 2×122100111020101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100111020161) 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, 61050055510050 + 61050055510051.

It is an arithmetic number, because the mean of its divisors is an integer number (61050055510051).

Almost surely, 2^{122100111020101} is an apocalyptic number.

It is an amenable number.

122100111020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100111020101 is an equidigital number, since it uses as much as digits as its factorization.

122100111020101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122100111020101 its reverse (101020111001221), we get a palindrome (223120222021322).

The spelling of 122100111020101 in words is "one hundred twenty-two trillion, one hundred billion, one hundred eleven million, twenty thousand, one hundred one".