102012101100011 has 2 divisors, whose sum is σ = 102012101100012. Its totient is φ = 102012101100010.

The previous prime is 102012101099999. The next prime is 102012101100023. The reversal of 102012101100011 is 110001101210201.

It is a balanced prime because it is at equal distance from previous prime (102012101099999) and next prime (102012101100023).

It is a cyclic number.

It is not a de Polignac number, because 102012101100011 - 2⁶ = 102012101099947 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102012101099965 and 102012101100001.

It is not a weakly prime, because it can be changed into another prime (102012101106011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006050550005 + 51006050550006.

It is an arithmetic number, because the mean of its divisors is an integer number (51006050550006).

Almost surely, 2^{102012101100011} is an apocalyptic number.

102012101100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012101100011 is an equidigital number, since it uses as much as digits as its factorization.

102012101100011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102012101100011 its reverse (110001101210201), we get a palindrome (212013202310212).

The spelling of 102012101100011 in words is "one hundred two trillion, twelve billion, one hundred one million, one hundred thousand, eleven".