20201220010000 has 100 divisors (see below), whose sum is σ = 48920803544272. Its totient is φ = 8078566608000.

The previous prime is 20201220009983. The next prime is 20201220010019. The reversal of 20201220010000 is 1002210202.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42191947 + ... + 42668053.

Almost surely, 2^{20201220010000} is an apocalyptic number.

20201220010000 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 20201220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24460401772136).

20201220010000 is an abundant number, since it is smaller than the sum of its proper divisors (28719583534272).

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

20201220010000 is an equidigital number, since it uses as much as digits as its factorization.

20201220010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480378 (or 480357 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20201220010000 its reverse (1002210202), we get a palindrome (20202222220202).

The spelling of 20201220010000 in words is "twenty trillion, two hundred one billion, two hundred twenty million, ten thousand".