102100011110111 has 32 divisors (see below), whose sum is σ = 122944512860160. Its totient is φ = 82829036306016.

The previous prime is 102100011110107. The next prime is 102100011110117. The reversal of 102100011110111 is 111011110001201.

It is a happy number.

It is not a de Polignac number, because 102100011110111 - 2² = 102100011110107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100011110092 and 102100011110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100011110117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024978670 + ... + 1025078276.

It is an arithmetic number, because the mean of its divisors is an integer number (3842016026880).

Almost surely, 2^{102100011110111} is an apocalyptic number.

102100011110111 is a deficient number, since it is larger than the sum of its proper divisors (20844501750049).

102100011110111 is a wasteful number, since it uses less digits than its factorization.

102100011110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106923.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 102100011110111 its reverse (111011110001201), we get a palindrome (213111121111312).

The spelling of 102100011110111 in words is "one hundred two trillion, one hundred billion, eleven million, one hundred ten thousand, one hundred eleven".