122111210101 has 2 divisors, whose sum is σ = 122111210102. Its totient is φ = 122111210100.

The previous prime is 122111210099. The next prime is 122111210147. The reversal of 122111210101 is 101012111221.

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., 121420887025 + 690323076 = 348455^2 + 26274^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111210101 - 2¹ = 122111210099 is a prime.

It is a super-2 number, since 2×122111210101² (a number of 23 digits) contains 22 as substring.

Together with 122111210099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111217101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055605050 + 61055605051.

It is an arithmetic number, because the mean of its divisors is an integer number (61055605051).

Almost surely, 2^122111210101 is an apocalyptic number.

It is an amenable number.

122111210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111210101 is an equidigital number, since it uses as much as digits as its factorization.

122111210101 is an evil number, because the sum of its binary digits is even.

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

Adding to 122111210101 its reverse (101012111221), we get a palindrome (223123321322).

The spelling of 122111210101 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred ten thousand, one hundred one".