102111000 has 128 divisors (see below), whose sum is σ = 322695360. Its totient is φ = 26880000.

The previous prime is 102110971. The next prime is 102111029. The reversal of 102111000 is 111201.

It is an interprime number because it is at equal distance from previous prime (102110971) and next prime (102111029).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 102111000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302832 + ... + 303168.

Almost surely, 2^102111000 is an apocalyptic number.

102111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161347680).

102111000 is an abundant number, since it is smaller than the sum of its proper divisors (220584360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102111000 is a wasteful number, since it uses less digits than its factorization.

102111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 102111000 is about 10104.9987629885. The cubic root of 102111000 is about 467.4022978266.

Adding to 102111000 its reverse (111201), we get a palindrome (102222201).

It can be divided in two parts, 10211 and 1000, that added together give a palindrome (11211).

The spelling of 102111000 in words is "one hundred two million, one hundred eleven thousand".