100022301100 has 72 divisors (see below), whose sum is σ = 228115399680. Its totient is φ = 37993961280.

The previous prime is 100022301089. The next prime is 100022301121. The reversal of 100022301100 is 1103220001.

It is a super-2 number, since 2×100022301100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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, 163269 + ... + 476131.

It is an arithmetic number, because the mean of its divisors is an integer number (3168269440).

Almost surely, 2^100022301100 is an apocalyptic number.

100022301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114057699840).

100022301100 is an abundant number, since it is smaller than the sum of its proper divisors (128093098580).

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

100022301100 is a wasteful number, since it uses less digits than its factorization.

100022301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313039 (or 313032 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100022301100 its reverse (1103220001), we get a palindrome (101125521101).

The spelling of 100022301100 in words is "one hundred billion, twenty-two million, three hundred one thousand, one hundred".