102122111 has 32 divisors (see below), whose sum is σ = 134120448. Its totient is φ = 75456000.

The previous prime is 102122099. The next prime is 102122123. The reversal of 102122111 is 111221201.

It is an interprime number because it is at equal distance from previous prime (102122099) and next prime (102122123).

It is a cyclic number.

It is not a de Polignac number, because 102122111 - 2²² = 97927807 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102122092 and 102122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122171) 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, 388166 + ... + 388428.

It is an arithmetic number, because the mean of its divisors is an integer number (4191264).

Almost surely, 2^102122111 is an apocalyptic number.

102122111 is a deficient number, since it is larger than the sum of its proper divisors (31998337).

102122111 is a wasteful number, since it uses less digits than its factorization.

102122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 102122111 is about 10105.5485254389. The cubic root of 102122111 is about 467.4192503540.

Adding to 102122111 its reverse (111221201), we get a palindrome (213343312).

It can be divided in two parts, 1021 and 22111, that added together give a palindrome (23132).

The spelling of 102122111 in words is "one hundred two million, one hundred twenty-two thousand, one hundred eleven".