100222233133000 has 128 divisors (see below), whose sum is σ = 261283434048000. Its totient is φ = 35669034432000.

The previous prime is 100222233132883. The next prime is 100222233133019. The reversal of 100222233133000 is 331332222001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96409725 + ... + 97443724.

It is an arithmetic number, because the mean of its divisors is an integer number (2041276828500).

Almost surely, 2^{100222233133000} is an apocalyptic number.

100222233133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222233133000 is an abundant number, since it is smaller than the sum of its proper divisors (161061200915000).

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

100222233133000 is a wasteful number, since it uses less digits than its factorization.

100222233133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193853528 (or 193853514 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 100222233133000 its reverse (331332222001), we get a palindrome (100553565355001).

The spelling of 100222233133000 in words is "one hundred trillion, two hundred twenty-two billion, two hundred thirty-three million, one hundred thirty-three thousand".