100223032000 has 672 divisors, whose sum is σ = 316452479616. Its totient is φ = 31159296000.

The previous prime is 100223031991. The next prime is 100223032061. The reversal of 100223032000 is 230322001.

It is a happy number.

100223032000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100223032000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 361815862 + ... + 361816138.

It is an arithmetic number, because the mean of its divisors is an integer number (470911428).

Almost surely, 2^100223032000 is an apocalyptic number.

100223032000 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 100223032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158226239808).

100223032000 is an abundant number, since it is smaller than the sum of its proper divisors (216229447616).

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

100223032000 is a wasteful number, since it uses less digits than its factorization.

100223032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 100223032000 its reverse (230322001), we get a palindrome (100453354001).

The spelling of 100223032000 in words is "one hundred billion, two hundred twenty-three million, thirty-two thousand".