102113233112161 has 2 divisors, whose sum is σ = 102113233112162. Its totient is φ = 102113233112160.

The previous prime is 102113233112039. The next prime is 102113233112183. The reversal of 102113233112161 is 161211332311201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101177043342400 + 936189769761 = 10058680^2 + 967569^2 .

It is a cyclic number.

It is not a de Polignac number, because 102113233112161 - 2²⁹ = 102112696241249 is a prime.

It is a super-2 number, since 2×102113233112161² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102113233118161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056616556080 + 51056616556081.

It is an arithmetic number, because the mean of its divisors is an integer number (51056616556081).

Almost surely, 2^{102113233112161} is an apocalyptic number.

It is an amenable number.

102113233112161 is a deficient number, since it is larger than the sum of its proper divisors (1).

102113233112161 is an equidigital number, since it uses as much as digits as its factorization.

102113233112161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 102113233112161 its reverse (161211332311201), we get a palindrome (263324565423362).

The spelling of 102113233112161 in words is "one hundred two trillion, one hundred thirteen billion, two hundred thirty-three million, one hundred twelve thousand, one hundred sixty-one".