20201221101000 has 128 divisors (see below), whose sum is σ = 63032541586560. Its totient is φ = 5386587872000.

The previous prime is 20201221100993. The next prime is 20201221101143. The reversal of 20201221101000 is 10112210202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40827082 + ... + 41318918.

It is an arithmetic number, because the mean of its divisors is an integer number (492441731145).

Almost surely, 2^{20201221101000} is an apocalyptic number.

20201221101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201221101000 is an abundant number, since it is smaller than the sum of its proper divisors (42831320485560).

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

20201221101000 is a wasteful number, since it uses less digits than its factorization.

20201221101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505552 (or 505538 counting only the distinct ones).

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

Adding to 20201221101000 its reverse (10112210202), we get a palindrome (20211333311202).

The spelling of 20201221101000 in words is "twenty trillion, two hundred one billion, two hundred twenty-one million, one hundred one thousand".