122111100122001 has 16 divisors (see below), whose sum is σ = 168173871525888. Its totient is φ = 78731207557200.

The previous prime is 122111100121991. The next prime is 122111100122029. The reversal of 122111100122001 is 100221001111221.

It is a happy number.

It is not a de Polignac number, because 122111100122001 - 2⁷ = 122111100121873 is a prime.

It is a super-2 number, since 2×122111100122001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111100122041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417747781 + ... + 418039986.

It is an arithmetic number, because the mean of its divisors is an integer number (10510866970368).

Almost surely, 2^{122111100122001} is an apocalyptic number.

It is an amenable number.

122111100122001 is a deficient number, since it is larger than the sum of its proper divisors (46062771403887).

122111100122001 is a wasteful number, since it uses less digits than its factorization.

122111100122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835789372.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111100122001 its reverse (100221001111221), we get a palindrome (222332101233222).

The spelling of 122111100122001 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred million, one hundred twenty-two thousand, one".