221002112122000 has 320 divisors, whose sum is σ = 588949129986048. Its totient is φ = 79540105920000.

The previous prime is 221002112121937. The next prime is 221002112122021. The reversal of 221002112122000 is 221211200122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4239659937 + ... + 4239712063.

Almost surely, 2^{221002112122000} is an apocalyptic number.

221002112122000 is a gapful number since it is divisible by the number (20) 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 221002112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294474564993024).

221002112122000 is an abundant number, since it is smaller than the sum of its proper divisors (367947017864048).

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

221002112122000 is a wasteful number, since it uses less digits than its factorization.

221002112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54135 (or 54119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221002112122000 its reverse (221211200122), we get a palindrome (221223323322122).

The spelling of 221002112122000 in words is "two hundred twenty-one trillion, two billion, one hundred twelve million, one hundred twenty-two thousand".