42112102121 has 2 divisors, whose sum is σ = 42112102122. Its totient is φ = 42112102120.

The previous prime is 42112102099. The next prime is 42112102147. The reversal of 42112102121 is 12120121124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42111554521 + 547600 = 205211^2 + 740^2 .

It is a cyclic number.

It is not a de Polignac number, because 42112102121 - 2³⁴ = 24932232937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42112102121.

It is not a weakly prime, because it can be changed into another prime (42112101121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21056051060 + 21056051061.

It is an arithmetic number, because the mean of its divisors is an integer number (21056051061).

Almost surely, 2^42112102121 is an apocalyptic number.

It is an amenable number.

42112102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

42112102121 is an equidigital number, since it uses as much as digits as its factorization.

42112102121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 42112102121 its reverse (12120121124), we get a palindrome (54232223245).

The spelling of 42112102121 in words is "forty-two billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".