10211022022000 has 160 divisors (see below), whose sum is σ = 25035306566400. Its totient is φ = 4027358361600.

The previous prime is 10211022021989. The next prime is 10211022022049. The reversal of 10211022022000 is 22022011201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721670926 + ... + 721685074.

It is an arithmetic number, because the mean of its divisors is an integer number (156470666040).

Almost surely, 2^{10211022022000} is an apocalyptic number.

10211022022000 is a gapful number since it is divisible by the number (10) 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 10211022022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517653283200).

10211022022000 is an abundant number, since it is smaller than the sum of its proper divisors (14824284544400).

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

10211022022000 is a wasteful number, since it uses less digits than its factorization.

10211022022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19188 (or 19172 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10211022022000 its reverse (22022011201), we get a palindrome (10233044033201).

The spelling of 10211022022000 in words is "ten trillion, two hundred eleven billion, twenty-two million, twenty-two thousand".