100123322033232 has 60 divisors (see below), whose sum is σ = 290584250480160. Its totient is φ = 33374440676448.

The previous prime is 100123322033177. The next prime is 100123322033239. The reversal of 100123322033232 is 232330223321001.

100123322033232 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 3 + 322 + 0 + 332 + 3 + 2 = 666.

It is a super-2 number, since 2×100123322033232² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100123322033196 and 100123322033205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123322033239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12875937732 + ... + 12875945507.

It is an arithmetic number, because the mean of its divisors is an integer number (4843070841336).

Almost surely, 2^{100123322033232} is an apocalyptic number.

100123322033232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100123322033232 is an abundant number, since it is smaller than the sum of its proper divisors (190460928446928).

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

100123322033232 is an equidigital number, since it uses as much as digits as its factorization.

100123322033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25751883262 (or 25751883244 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 100123322033232 its reverse (232330223321001), we get a palindrome (332453545354233).

The spelling of 100123322033232 in words is "one hundred trillion, one hundred twenty-three billion, three hundred twenty-two million, thirty-three thousand, two hundred thirty-two".