101111111122122 has 64 divisors (see below), whose sum is σ = 226746621388800. Its totient is φ = 33396787445760.

The previous prime is 101111111122093. The next prime is 101111111122123. The reversal of 101111111122122 is 221221111111101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101111111122095 and 101111111122104.

It is not an unprimeable number, because it can be changed into a prime (101111111122123) 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 31 ways as a sum of consecutive naturals, for example, 16421847 + ... + 21723242.

It is an arithmetic number, because the mean of its divisors is an integer number (3542915959200).

Almost surely, 2^{101111111122122} is an apocalyptic number.

101111111122122 is an abundant number, since it is smaller than the sum of its proper divisors (125635510266678).

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

101111111122122 is a wasteful number, since it uses less digits than its factorization.

101111111122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38145548 (or 38145542 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 101111111122122 its reverse (221221111111101), we get a palindrome (322332222233223).

The spelling of 101111111122122 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty-two".