101101101122 has 12 divisors (see below), whose sum is σ = 176411105190. Its totient is φ = 43329043296.

The previous prime is 101101101113. The next prime is 101101101151. The reversal of 101101101122 is 221101101101.

It can be written as a sum of positive squares in only one way, i.e., 96105580081 + 4995521041 = 310009^2 + 70679^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 515821847 + ... + 515822042.

Almost surely, 2^101101101122 is an apocalyptic number.

101101101122 is a deficient number, since it is larger than the sum of its proper divisors (75310004068).

101101101122 is a wasteful number, since it uses less digits than its factorization.

101101101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031643905 (or 1031643898 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101101101122 its reverse (221101101101), we get a palindrome (322202202223).

The spelling of 101101101122 in words is "one hundred one billion, one hundred one million, one hundred one thousand, one hundred twenty-two".