1023414204121 has 2 divisors, whose sum is σ = 1023414204122. Its totient is φ = 1023414204120.

The previous prime is 1023414204119. The next prime is 1023414204133. The reversal of 1023414204121 is 1214024143201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 917359768521 + 106054435600 = 957789^2 + 325660^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023414204121 - 2¹ = 1023414204119 is a prime.

Together with 1023414204119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1023414204221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511707102060 + 511707102061.

It is an arithmetic number, because the mean of its divisors is an integer number (511707102061).

Almost surely, 2^{1023414204121} is an apocalyptic number.

It is an amenable number.

1023414204121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023414204121 is an equidigital number, since it uses as much as digits as its factorization.

1023414204121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1023414204121 its reverse (1214024143201), we get a palindrome (2237438347322).

The spelling of 1023414204121 in words is "one trillion, twenty-three billion, four hundred fourteen million, two hundred four thousand, one hundred twenty-one".