122111022111001 has 32 divisors (see below), whose sum is σ = 161841750635520. Its totient is φ = 89250965208000.

The previous prime is 122111022110981. The next prime is 122111022111011. The reversal of 122111022111001 is 100111220111221.

It is a cyclic number.

It is not a de Polignac number, because 122111022111001 - 2¹³ = 122111022102809 is a prime.

It is a super-2 number, since 2×122111022111001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122111022111011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413051151 + ... + 413346676.

It is an arithmetic number, because the mean of its divisors is an integer number (5057554707360).

Almost surely, 2^{122111022111001} is an apocalyptic number.

122111022111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111022111001 is a deficient number, since it is larger than the sum of its proper divisors (39730728524519).

122111022111001 is a wasteful number, since it uses less digits than its factorization.

122111022111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826397965.

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

Adding to 122111022111001 its reverse (100111220111221), we get a palindrome (222222242222222).

The spelling of 122111022111001 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty-two million, one hundred eleven thousand, one".