3331121223100 has 144 divisors (see below), whose sum is σ = 8082165270816. Its totient is φ = 1181164032000.

The previous prime is 3331121223083. The next prime is 3331121223119. The reversal of 3331121223100 is 13221211333.

It is a super-2 number, since 2×3331121223100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92572312 + ... + 92608288.

It is an arithmetic number, because the mean of its divisors is an integer number (56126147714).

Almost surely, 2^{3331121223100} 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 3331121223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041082635408).

3331121223100 is an abundant number, since it is smaller than the sum of its proper divisors (4751044047716).

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

3331121223100 is a wasteful number, since it uses less digits than its factorization.

3331121223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38096 (or 38089 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3331121223100 its reverse (13221211333), we get a palindrome (3344342434433).

The spelling of 3331121223100 in words is "three trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred twenty-three thousand, one hundred".