20414157121 has 2 divisors, whose sum is σ = 20414157122. Its totient is φ = 20414157120.

The previous prime is 20414157109. The next prime is 20414157131. The reversal of 20414157121 is 12175141402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17483450625 + 2930706496 = 132225^2 + 54136^2 .

It is a cyclic number.

It is not a de Polignac number, because 20414157121 - 2²⁵ = 20380602689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20414157121.

It is not a weakly prime, because it can be changed into another prime (20414157131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10207078560 + 10207078561.

It is an arithmetic number, because the mean of its divisors is an integer number (10207078561).

Almost surely, 2^20414157121 is an apocalyptic number.

It is an amenable number.

20414157121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20414157121 is an equidigital number, since it uses as much as digits as its factorization.

20414157121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 28.

Adding to 20414157121 its reverse (12175141402), we get a palindrome (32589298523).

The spelling of 20414157121 in words is "twenty billion, four hundred fourteen million, one hundred fifty-seven thousand, one hundred twenty-one".