122112101000011 has 16 divisors (see below), whose sum is σ = 123360962102784. Its totient is φ = 120866246129664.

The previous prime is 122112100999981. The next prime is 122112101000041. The reversal of 122112101000011 is 110000101211221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122112100999981) and next prime (122112101000041).

It is a cyclic number.

It is not a de Polignac number, because 122112101000011 - 2²⁷ = 122111966782283 is a prime.

It is a super-2 number, since 2×122112101000011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122112100999955 and 122112101000000.

It is not an unprimeable number, because it can be changed into a prime (122112101000041) 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, 510452950 + ... + 510692116.

It is an arithmetic number, because the mean of its divisors is an integer number (7710060131424).

Almost surely, 2^{122112101000011} is an apocalyptic number.

122112101000011 is a deficient number, since it is larger than the sum of its proper divisors (1248861102773).

122112101000011 is a wasteful number, since it uses less digits than its factorization.

122112101000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245430.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122112101000011 its reverse (110000101211221), we get a palindrome (232112202211232).

The spelling of 122112101000011 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred one million, eleven", and thus it is an aban number.