100023221100 has 288 divisors, whose sum is σ = 338349344256. Its totient is φ = 22566297600.

The previous prime is 100023221071. The next prime is 100023221131. The reversal of 100023221100 is 1122320001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2790492 + ... + 2826108.

It is an arithmetic number, because the mean of its divisors is an integer number (1174824112).

Almost surely, 2^100023221100 is an apocalyptic number.

100023221100 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 100023221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169174672128).

100023221100 is an abundant number, since it is smaller than the sum of its proper divisors (238326123156).

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

100023221100 is a wasteful number, since it uses less digits than its factorization.

100023221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35705 (or 35698 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100023221100 its reverse (1122320001), we get a palindrome (101145541101).

It can be divided in two parts, 100023 and 221100, that added together give a palindrome (321123).

The spelling of 100023221100 in words is "one hundred billion, twenty-three million, two hundred twenty-one thousand, one hundred".