101100122001122 has 16 divisors (see below), whose sum is σ = 160572303784152. Its totient is φ = 47576077102080.

The previous prime is 101100122001121. The next prime is 101100122001127. The reversal of 101100122001122 is 221100221001101.

It can be written as a sum of positive squares in 4 ways, for example, as 99202177680841 + 1897944320281 = 9960029^2 + 1377659^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101100122001097 and 101100122001106.

It is not an unprimeable number, because it can be changed into a prime (101100122001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10436579 + ... + 17638662.

Almost surely, 2^{101100122001122} is an apocalyptic number.

101100122001122 is a deficient number, since it is larger than the sum of its proper divisors (59472181783030).

101100122001122 is a wasteful number, since it uses less digits than its factorization.

101100122001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28181173.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101100122001122 its reverse (221100221001101), we get a palindrome (322200343002223).

The spelling of 101100122001122 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, one thousand, one hundred twenty-two".