102001011113011 has 2 divisors, whose sum is σ = 102001011113012. Its totient is φ = 102001011113010.

The previous prime is 102001011113009. The next prime is 102001011113041. The reversal of 102001011113011 is 110311110100201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102001011113011 - 2¹ = 102001011113009 is a prime.

It is a super-2 number, since 2×102001011113011² (a number of 29 digits) contains 22 as substring.

Together with 102001011113009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102001011112982 and 102001011113000.

It is not a weakly prime, because it can be changed into another prime (102001011113041) 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, 51000505556505 + 51000505556506.

It is an arithmetic number, because the mean of its divisors is an integer number (51000505556506).

Almost surely, 2^{102001011113011} is an apocalyptic number.

102001011113011 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001011113011 is an equidigital number, since it uses as much as digits as its factorization.

102001011113011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 102001011113011 its reverse (110311110100201), we get a palindrome (212312121213212).

The spelling of 102001011113011 in words is "one hundred two trillion, one billion, eleven million, one hundred thirteen thousand, eleven".