20201221110000 has 800 divisors, whose sum is σ = 76549501518336. Its totient is φ = 4492800000000.

The previous prime is 20201221109941. The next prime is 20201221110011. The reversal of 20201221110000 is 1112210202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3452607075 + ... + 3452612925.

Almost surely, 2^{20201221110000} is an apocalyptic number.

20201221110000 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 20201221110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38274750759168).

20201221110000 is an abundant number, since it is smaller than the sum of its proper divisors (56348280408336).

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

20201221110000 is a wasteful number, since it uses less digits than its factorization.

20201221110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20201221110000 its reverse (1112210202), we get a palindrome (20202333320202).

The spelling of 20201221110000 in words is "twenty trillion, two hundred one billion, two hundred twenty-one million, one hundred ten thousand".