102100111 has 2 divisors, whose sum is σ = 102100112. Its totient is φ = 102100110.

The previous prime is 102100099. The next prime is 102100123. The reversal of 102100111 is 111001201.

It is a balanced prime because it is at equal distance from previous prime (102100099) and next prime (102100123).

It is an emirp because it is prime and its reverse (111001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102100111 - 2¹¹ = 102098063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100094 and 102100103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050055 + 51050056.

It is an arithmetic number, because the mean of its divisors is an integer number (51050056).

Almost surely, 2^102100111 is an apocalyptic number.

102100111 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100111 is an equidigital number, since it uses as much as digits as its factorization.

102100111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 102100111 is about 10104.4599558809. The cubic root of 102100111 is about 467.3856828208.

Adding to 102100111 its reverse (111001201), we get a palindrome (213101312).

The spelling of 102100111 in words is "one hundred two million, one hundred thousand, one hundred eleven".