3223101102000 has 640 divisors, whose sum is σ = 11508943380480. Its totient is φ = 770964480000.

The previous prime is 3223101101993. The next prime is 3223101102017. The reversal of 3223101102000 is 2011013223.

It is a super-2 number, since 2×3223101102000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 866656141 + ... + 866659859.

It is an arithmetic number, because the mean of its divisors is an integer number (17982724032).

Almost surely, 2^{3223101102000} is an apocalyptic number.

3223101102000 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 3223101102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754471690240).

3223101102000 is an abundant number, since it is smaller than the sum of its proper divisors (8285842278480).

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

3223101102000 is a wasteful number, since it uses less digits than its factorization.

3223101102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3223101102000 its reverse (2011013223), we get a palindrome (3225112115223).

The spelling of 3223101102000 in words is "three trillion, two hundred twenty-three billion, one hundred one million, one hundred two thousand".