102111200 has 72 divisors (see below), whose sum is σ = 251780760. Its totient is φ = 40435200.

The previous prime is 102111199. The next prime is 102111203. The reversal of 102111200 is 2111201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86615 + ... + 87785.

It is an arithmetic number, because the mean of its divisors is an integer number (3496955).

Almost surely, 2^102111200 is an apocalyptic number.

102111200 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 102111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125890380).

102111200 is an abundant number, since it is smaller than the sum of its proper divisors (149669560).

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

102111200 is a wasteful number, since it uses less digits than its factorization.

102111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102111200 is about 10105.0086590760. The cubic root of 102111200 is about 467.4026029860.

Adding to 102111200 its reverse (2111201), we get a palindrome (104222401).

Subtracting from 102111200 its reverse (2111201), we obtain a palindrome (99999999).

It can be divided in two parts, 10211 and 1200, that added together give a palindrome (11411).

The spelling of 102111200 in words is "one hundred two million, one hundred eleven thousand, two hundred".