20201321002122 has 96 divisors (see below), whose sum is σ = 48414569570640. Its totient is φ = 6047272442880.

The previous prime is 20201321002073. The next prime is 20201321002133. The reversal of 20201321002122 is 22120012310202.

20201321002122 is a `hidden beast` number, since 20 + 201 + 321 + 0 + 0 + 2 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18823892499801 + 1377428502321 = 4338651^2 + 1173639^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20201321002095 and 20201321002104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106233904 + ... + 106423892.

Almost surely, 2^{20201321002122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201321002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24207284785320).

20201321002122 is an abundant number, since it is smaller than the sum of its proper divisors (28213248568518).

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

20201321002122 is a wasteful number, since it uses less digits than its factorization.

20201321002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202328 (or 202325 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20201321002122 its reverse (22120012310202), we get a palindrome (42321333312324).

The spelling of 20201321002122 in words is "twenty trillion, two hundred one billion, three hundred twenty-one million, two thousand, one hundred twenty-two".