100022220233000 has 192 divisors, whose sum is σ = 262180272884400. Its totient is φ = 35657787110400.

The previous prime is 100022220232927. The next prime is 100022220233011. The reversal of 100022220233000 is 332022220001.

It can be written as a sum of positive squares in 24 ways, for example, as 94879639021924 + 5142581211076 = 9740618^2 + 2267726^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100022220233000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5303267 + ... + 15105266.

Almost surely, 2^{100022220233000} is an apocalyptic number.

100022220233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022220233000 is an abundant number, since it is smaller than the sum of its proper divisors (162158052651400).

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

100022220233000 is a wasteful number, since it uses less digits than its factorization.

100022220233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20408609 (or 20408582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 100022220233000 its reverse (332022220001), we get a palindrome (100354242453001).

It can be divided in two parts, 100022 and 220233000, that added together give a palindrome (220333022).

The spelling of 100022220233000 in words is "one hundred trillion, twenty-two billion, two hundred twenty million, two hundred thirty-three thousand".