2122331010000 has 200 divisors, whose sum is σ = 6852952603200. Its totient is φ = 565807488000.

The previous prime is 2122331009993. The next prime is 2122331010067. The reversal of 2122331010000 is 101332212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×2122331010000³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163463509 + ... + 163476491.

It is an arithmetic number, because the mean of its divisors is an integer number (34264763016).

Almost surely, 2^{2122331010000} is an apocalyptic number.

2122331010000 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 2122331010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426476301600).

2122331010000 is an abundant number, since it is smaller than the sum of its proper divisors (4730621593200).

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

2122331010000 is a wasteful number, since it uses less digits than its factorization.

2122331010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18463 (or 18442 counting only the distinct ones).

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

Adding to 2122331010000 its reverse (101332212), we get a palindrome (2122432342212).

The spelling of 2122331010000 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-one million, ten thousand".