20212144121202 has 128 divisors (see below), whose sum is σ = 46530253681920. Its totient is φ = 5795916672000.

The previous prime is 20212144121189. The next prime is 20212144121227.

20212144121202 is nontrivially palindromic in base 10.

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 63 ways as a sum of consecutive naturals, for example, 95351052 + ... + 95562792.

It is an arithmetic number, because the mean of its divisors is an integer number (363517606890).

Almost surely, 2^{20212144121202} is an apocalyptic number.

20212144121202 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 20212144121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23265126840960).

20212144121202 is an abundant number, since it is smaller than the sum of its proper divisors (26318109560718).

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

20212144121202 is a wasteful number, since it uses less digits than its factorization.

20212144121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212780.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2021214 and 4121202, that added together give a palindrome (6142416).

The spelling of 20212144121202 in words is "twenty trillion, two hundred twelve billion, one hundred forty-four million, one hundred twenty-one thousand, two hundred two".