100332033121332 has 30 divisors (see below), whose sum is σ = 262287753253218. Its totient is φ = 33444011040336.

The previous prime is 100332033121319. The next prime is 100332033121351. The reversal of 100332033121332 is 233121330233001.

100332033121332 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 203 + 3 + 121 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59784226064676 + 40547807056656 = 7732026^2 + 6367716^2 .

It is a super-2 number, since 2×100332033121332² (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 = 100332033121296 and 100332033121305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 154833384123 + ... + 154833384770.

Almost surely, 2^{100332033121332} is an apocalyptic number.

100332033121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100332033121332 is an abundant number, since it is smaller than the sum of its proper divisors (161955720131886).

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

100332033121332 is a wasteful number, since it uses less digits than its factorization.

100332033121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309666768909 (or 309666768898 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 100332033121332 its reverse (233121330233001), we get a palindrome (333453363354333).

The spelling of 100332033121332 in words is "one hundred trillion, three hundred thirty-two billion, thirty-three million, one hundred twenty-one thousand, three hundred thirty-two".