20020121320100 has 216 divisors, whose sum is σ = 51082373409480. Its totient is φ = 6781162291200.

The previous prime is 20020121320093. The next prime is 20020121320193. The reversal of 20020121320100 is 102312102002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 678702459556 + 19341418860544 = 823834^2 + 4397888^2 .

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 71 ways as a sum of consecutive naturals, for example, 19451216 + ... + 20454584.

Almost surely, 2^{20020121320100} is an apocalyptic number.

20020121320100 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 20020121320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25541186704740).

20020121320100 is an abundant number, since it is smaller than the sum of its proper divisors (31062252089380).

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

20020121320100 is a wasteful number, since it uses less digits than its factorization.

20020121320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003519 (or 1003501 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20020121320100 its reverse (102312102002), we get a palindrome (20122433422102).

The spelling of 20020121320100 in words is "twenty trillion, twenty billion, one hundred twenty-one million, three hundred twenty thousand, one hundred".