20201222110000 has 400 divisors, whose sum is σ = 50382306950976. Its totient is φ = 7841746944000.

The previous prime is 20201222109983. The next prime is 20201222110007. The reversal of 20201222110000 is 1122210202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (20201222110007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13007869224 + ... + 13007870776.

Almost surely, 2^{20201222110000} is an apocalyptic number.

20201222110000 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 20201222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25191153475488).

20201222110000 is an abundant number, since it is smaller than the sum of its proper divisors (30181084840976).

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

20201222110000 is a wasteful number, since it uses less digits than its factorization.

20201222110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1909 counting only the distinct ones).

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

Adding to 20201222110000 its reverse (1122210202), we get a palindrome (20202344320202).

The spelling of 20201222110000 in words is "twenty trillion, two hundred one billion, two hundred twenty-two million, one hundred ten thousand".