100233120222000 has 160 divisors (see below), whose sum is σ = 359057310855360. Its totient is φ = 26728832044800.

The previous prime is 100233120221989. The next prime is 100233120222007. The reversal of 100233120222000 is 222021332001.

100233120222000 is a `hidden beast` number, since 10 + 0 + 233 + 1 + 202 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100233120222007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928030447 + ... + 928138446.

It is an arithmetic number, because the mean of its divisors is an integer number (2244108192846).

Almost surely, 2^{100233120222000} is an apocalyptic number.

100233120222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100233120222000 is an abundant number, since it is smaller than the sum of its proper divisors (258824190633360).

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

100233120222000 is a wasteful number, since it uses less digits than its factorization.

100233120222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856168925 (or 1856168903 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100233120222000 its reverse (222021332001), we get a palindrome (100455141554001).

The spelling of 100233120222000 in words is "one hundred trillion, two hundred thirty-three billion, one hundred twenty million, two hundred twenty-two thousand".