122111220010001 has 2 divisors, whose sum is σ = 122111220010002. Its totient is φ = 122111220010000.

The previous prime is 122111220009983. The next prime is 122111220010009. The reversal of 122111220010001 is 100010022111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118399991142976 + 3711228867025 = 10881176^2 + 1926455^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111220010001 - 2¹⁸ = 122111219747857 is a prime.

It is a super-2 number, since 2×122111220010001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111220010009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055610005000 + 61055610005001.

It is an arithmetic number, because the mean of its divisors is an integer number (61055610005001).

Almost surely, 2^{122111220010001} is an apocalyptic number.

It is an amenable number.

122111220010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111220010001 is an equidigital number, since it uses as much as digits as its factorization.

122111220010001 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 14.

Adding to 122111220010001 its reverse (100010022111221), we get a palindrome (222121242121222).

The spelling of 122111220010001 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty million, ten thousand, one".