20021200201002 has 512 divisors, whose sum is σ = 56973553459200. Its totient is φ = 4523566694400.

The previous prime is 20021200200997. The next prime is 20021200201091. The reversal of 20021200201002 is 20010200212002.

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 255 ways as a sum of consecutive naturals, for example, 1266435274 + ... + 1266451082.

It is an arithmetic number, because the mean of its divisors is an integer number (111276471600).

Almost surely, 2^{20021200201002} is an apocalyptic number.

20021200201002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021200201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28486776729600).

20021200201002 is an abundant number, since it is smaller than the sum of its proper divisors (36952353258198).

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

20021200201002 is a wasteful number, since it uses less digits than its factorization.

20021200201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16062.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20021200201002 its reverse (20010200212002), we get a palindrome (40031400413004).

It can be divided in two parts, 20021200 and 201002, that added together give a palindrome (20222202).

The spelling of 20021200201002 in words is "twenty trillion, twenty-one billion, two hundred million, two hundred one thousand, two".