122112100011 has 16 divisors (see below), whose sum is σ = 180968878080. Its totient is φ = 72610967520.

The previous prime is 122112100009. The next prime is 122112100039. The reversal of 122112100011 is 110001211221.

It is not a de Polignac number, because 122112100011 - 2¹ = 122112100009 is a prime.

It is a super-2 number, since 2×122112100011² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122112100011.

It is not an unprimeable number, because it can be changed into a prime (122112100051) 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, 34907371 + ... + 34910868.

It is an arithmetic number, because the mean of its divisors is an integer number (11310554880).

Almost surely, 2^122112100011 is an apocalyptic number.

122112100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122112100011 is a deficient number, since it is larger than the sum of its proper divisors (58856778069).

122112100011 is a wasteful number, since it uses less digits than its factorization.

122112100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69818306.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122112100011 its reverse (110001211221), we get a palindrome (232113311232).

The spelling of 122112100011 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred thousand, eleven".