102112121212033 has 2 divisors, whose sum is σ = 102112121212034. Its totient is φ = 102112121212032.

The previous prime is 102112121211983. The next prime is 102112121212141. The reversal of 102112121212033 is 330212121211201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66929939069184 + 35182182142849 = 8181072^2 + 5931457^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112121212033 - 2¹⁷ = 102112121080961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112121211995 and 102112121212013.

It is not a weakly prime, because it can be changed into another prime (102112121212733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056060606016 + 51056060606017.

It is an arithmetic number, because the mean of its divisors is an integer number (51056060606017).

Almost surely, 2^{102112121212033} is an apocalyptic number.

It is an amenable number.

102112121212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112121212033 is an equidigital number, since it uses as much as digits as its factorization.

102112121212033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 102112121212033 its reverse (330212121211201), we get a palindrome (432324242423234).

The spelling of 102112121212033 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, thirty-three".