332003322100100 has 288 divisors, whose sum is σ = 899008173127680. Its totient is φ = 103887896232960.

The previous prime is 332003322100039. The next prime is 332003322100129. The reversal of 332003322100100 is 1001223300233.

It is a super-2 number, since 2×332003322100100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37772489 + ... + 45724911.

Almost surely, 2^{332003322100100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332003322100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449504086563840).

332003322100100 is an abundant number, since it is smaller than the sum of its proper divisors (567004851027580).

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

332003322100100 is a wasteful number, since it uses less digits than its factorization.

332003322100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952579 (or 7952572 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 332003322100100 its reverse (1001223300233), we get a palindrome (333004545400333).

The spelling of 332003322100100 in words is "three hundred thirty-two trillion, three billion, three hundred twenty-two million, one hundred thousand, one hundred".