101011122000110 has 96 divisors (see below), whose sum is σ = 213871889894400. Its totient is φ = 34246946276928.

The previous prime is 101011122000091. The next prime is 101011122000149. The reversal of 101011122000110 is 11000221110101.

It is a super-2 number, since 2×101011122000110² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101011122000091 and 101011122000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12716507 + ... + 19071753.

It is an arithmetic number, because the mean of its divisors is an integer number (2227832186400).

Almost surely, 2^{101011122000110} is an apocalyptic number.

101011122000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011122000110 is an abundant number, since it is smaller than the sum of its proper divisors (112860767894290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011122000110 is a wasteful number, since it uses less digits than its factorization.

101011122000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355630 (or 6355623 counting only the distinct ones).

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

Adding to 101011122000110 its reverse (11000221110101), we get a palindrome (112011343110211).

The spelling of 101011122000110 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, one hundred ten", and thus it is an aban number.