102133013022011 has 2 divisors, whose sum is σ = 102133013022012. Its totient is φ = 102133013022010.

The previous prime is 102133013021969. The next prime is 102133013022031. The reversal of 102133013022011 is 110220310331201.

It is a happy number.

It is an a-pointer prime, because the next prime (102133013022031) can be obtained adding 102133013022011 to its sum of digits (20).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102133013022011 - 2³⁸ = 101858135115067 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (102133013022031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066506511005 + 51066506511006.

It is an arithmetic number, because the mean of its divisors is an integer number (51066506511006).

Almost surely, 2^{102133013022011} is an apocalyptic number.

102133013022011 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133013022011 is an equidigital number, since it uses as much as digits as its factorization.

102133013022011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102133013022011 its reverse (110220310331201), we get a palindrome (212353323353212).

The spelling of 102133013022011 in words is "one hundred two trillion, one hundred thirty-three billion, thirteen million, twenty-two thousand, eleven".