332000010020100 has 288 divisors, whose sum is σ = 1029114482457600. Its totient is φ = 82385340710400.

The previous prime is 332000010020071. The next prime is 332000010020111. The reversal of 332000010020100 is 1020010000233.

It is a happy number.

It is a super-2 number, since 2×332000010020100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 415604065 + ... + 416402135.

It is an arithmetic number, because the mean of its divisors is an integer number (3573314175200).

Almost surely, 2^{332000010020100} is an apocalyptic number.

332000010020100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332000010020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514557241228800).

332000010020100 is an abundant number, since it is smaller than the sum of its proper divisors (697114472437500).

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

332000010020100 is a wasteful number, since it uses less digits than its factorization.

332000010020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799403 (or 799396 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 332000010020100 its reverse (1020010000233), we get a palindrome (333020020020333).

The spelling of 332000010020100 in words is "three hundred thirty-two trillion, ten million, twenty thousand, one hundred".