122102112001 has 2 divisors, whose sum is σ = 122102112002. Its totient is φ = 122102112000.

The previous prime is 122102111977. The next prime is 122102112023. The reversal of 122102112001 is 100211201221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103797374976 + 18304737025 = 322176^2 + 135295^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102112001 - 2⁹ = 122102111489 is a prime.

It is not a weakly prime, because it can be changed into another prime (122102112091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051056000 + 61051056001.

It is an arithmetic number, because the mean of its divisors is an integer number (61051056001).

Almost surely, 2^122102112001 is an apocalyptic number.

It is an amenable number.

122102112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102112001 is an equidigital number, since it uses as much as digits as its factorization.

122102112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122102112001 its reverse (100211201221), we get a palindrome (222313313222).

The spelling of 122102112001 in words is "one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, one".