330100222222100 has 216 divisors, whose sum is σ = 788893105359744. Its totient is φ = 119802466784000.

The previous prime is 330100222222097. The next prime is 330100222222123. The reversal of 330100222222100 is 1222222001033.

It is a happy number.

It is a super-2 number, since 2×330100222222100² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19848480785 + ... + 19848497415.

It is an arithmetic number, because the mean of its divisors is an integer number (3652282895184).

Almost surely, 2^{330100222222100} 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 330100222222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394446552679872).

330100222222100 is an abundant number, since it is smaller than the sum of its proper divisors (458792883137644).

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

330100222222100 is a wasteful number, since it uses less digits than its factorization.

330100222222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19767 (or 19749 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 330100222222100 its reverse (1222222001033), we get a palindrome (331322444223133).

The spelling of 330100222222100 in words is "three hundred thirty trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".