100022110110 has 48 divisors (see below), whose sum is σ = 280061911584. Its totient is φ = 24620826816.

The previous prime is 100022110099. The next prime is 100022110117. The reversal of 100022110110 is 11011220001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100022110092 and 100022110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022110117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42743322 + ... + 42745661.

It is an arithmetic number, because the mean of its divisors is an integer number (5834623158).

Almost surely, 2^100022110110 is an apocalyptic number.

100022110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100022110110 is an abundant number, since it is smaller than the sum of its proper divisors (180039801474).

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

100022110110 is a wasteful number, since it uses less digits than its factorization.

100022110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85489009 (or 85489006 counting only the distinct ones).

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

Adding to 100022110110 its reverse (11011220001), we get a palindrome (111033330111).

It can be divided in two parts, 1000221 and 10110, that added together give a triangular number (1010331 = T₁₄₂₁).

The spelling of 100022110110 in words is "one hundred billion, twenty-two million, one hundred ten thousand, one hundred ten".