102001102000111 has 2 divisors, whose sum is σ = 102001102000112. Its totient is φ = 102001102000110.

The previous prime is 102001102000093. The next prime is 102001102000117. The reversal of 102001102000111 is 111000201100201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102001102000111 - 2⁷ = 102001101999983 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001102000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000551000055 + 51000551000056.

It is an arithmetic number, because the mean of its divisors is an integer number (51000551000056).

Almost surely, 2^{102001102000111} is an apocalyptic number.

102001102000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001102000111 is an equidigital number, since it uses as much as digits as its factorization.

102001102000111 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 10.

Adding to 102001102000111 its reverse (111000201100201), we get a palindrome (213001303100312).

It can be divided in two parts, 10200110 and 2000111, that added together give a palindrome (12200221).

The spelling of 102001102000111 in words is "one hundred two trillion, one billion, one hundred two million, one hundred eleven", and thus it is an aban number.