122111111001 has 128 divisors (see below), whose sum is σ = 193612124160. Its totient is φ = 67682304000.

The previous prime is 122111110981. The next prime is 122111111011. The reversal of 122111111001 is 100111111221.

It is not a de Polignac number, because 122111111001 - 2⁵ = 122111110969 is a prime.

It is a super-2 number, since 2×122111111001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111111011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 632699961 + ... + 632700153.

It is an arithmetic number, because the mean of its divisors is an integer number (1512594720).

Almost surely, 2^122111111001 is an apocalyptic number.

122111111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111111001 is a deficient number, since it is larger than the sum of its proper divisors (71501013159).

122111111001 is a wasteful number, since it uses less digits than its factorization.

122111111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 122111111001 its reverse (100111111221), we get a palindrome (222222222222).

The spelling of 122111111001 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, one".