102120111 has 24 divisors (see below), whose sum is σ = 152053200. Its totient is φ = 65995776.

The previous prime is 102120101. The next prime is 102120131. The reversal of 102120111 is 111021201.

It is a happy number.

It is not a de Polignac number, because 102120111 - 2⁹ = 102119599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102120093 and 102120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149176 + ... + 149858.

It is an arithmetic number, because the mean of its divisors is an integer number (6335550).

Almost surely, 2^102120111 is an apocalyptic number.

102120111 is a deficient number, since it is larger than the sum of its proper divisors (49933089).

102120111 is a wasteful number, since it uses less digits than its factorization.

102120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 102120111 is about 10105.4495694155. The cubic root of 102120111 is about 467.4161989593.

Adding to 102120111 its reverse (111021201), we get a palindrome (213141312).

It can be divided in two parts, 1021201 and 11, that multiplied together give a palindrome (11233211).

The spelling of 102120111 in words is "one hundred two million, one hundred twenty thousand, one hundred eleven".