100100111022 has 96 divisors (see below), whose sum is σ = 225775918368. Its totient is φ = 32024429568.

The previous prime is 100100111021. The next prime is 100100111029. The reversal of 100100111022 is 220111001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100110995 and 100100111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57101298 + ... + 57103050.

It is an arithmetic number, because the mean of its divisors is an integer number (2351832483).

Almost surely, 2^100100111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112887959184).

100100111022 is an abundant number, since it is smaller than the sum of its proper divisors (125675807346).

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

100100111022 is a wasteful number, since it uses less digits than its factorization.

100100111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100111022 its reverse (220111001001), we get a palindrome (320211112023).

The spelling of 100100111022 in words is "one hundred billion, one hundred million, one hundred eleven thousand, twenty-two".