102112212133 has 2 divisors, whose sum is σ = 102112212134. Its totient is φ = 102112212132.

The previous prime is 102112212091. The next prime is 102112212179. The reversal of 102112212133 is 331212211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100642486564 + 1469725569 = 317242^2 + 38337^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112212133 - 2²⁹ = 101575341221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102112212133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112212193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056106066 + 51056106067.

It is an arithmetic number, because the mean of its divisors is an integer number (51056106067).

Almost surely, 2^102112212133 is an apocalyptic number.

It is an amenable number.

102112212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112212133 is an equidigital number, since it uses as much as digits as its factorization.

102112212133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102112212133 its reverse (331212211201), we get a palindrome (433324423334).

The spelling of 102112212133 in words is "one hundred two billion, one hundred twelve million, two hundred twelve thousand, one hundred thirty-three".