121122101101 has 2 divisors, whose sum is σ = 121122101102. Its totient is φ = 121122101100.

The previous prime is 121122101069. The next prime is 121122101123. The reversal of 121122101101 is 101101221121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121016319876 + 105781225 = 347874^2 + 10285^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122101101 - 2⁵ = 121122101069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121122101501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561050550 + 60561050551.

It is an arithmetic number, because the mean of its divisors is an integer number (60561050551).

Almost surely, 2^121122101101 is an apocalyptic number.

It is an amenable number.

121122101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122101101 is an equidigital number, since it uses as much as digits as its factorization.

121122101101 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 121122101101 its reverse (101101221121), we get a palindrome (222223322222).

The spelling of 121122101101 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, one hundred one".