102011123000233 has 2 divisors, whose sum is σ = 102011123000234. Its totient is φ = 102011123000232.

The previous prime is 102011123000209. The next prime is 102011123000257. The reversal of 102011123000233 is 332000321110201.

It is a balanced prime because it is at equal distance from previous prime (102011123000209) and next prime (102011123000257).

It can be written as a sum of positive squares in only one way, i.e., 59782401320464 + 42228721679769 = 7731908^2 + 6498363^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011123000233 - 2⁵ = 102011123000201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102011123000233.

It is not a weakly prime, because it can be changed into another prime (102011123000203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005561500116 + 51005561500117.

It is an arithmetic number, because the mean of its divisors is an integer number (51005561500117).

Almost surely, 2^{102011123000233} is an apocalyptic number.

It is an amenable number.

102011123000233 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011123000233 is an equidigital number, since it uses as much as digits as its factorization.

102011123000233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102011123000233 its reverse (332000321110201), we get a palindrome (434011444110434).

The spelling of 102011123000233 in words is "one hundred two trillion, eleven billion, one hundred twenty-three million, two hundred thirty-three", and thus it is an aban number.