102401112 has 64 divisors (see below), whose sum is σ = 280949760. Its totient is φ = 30844800.

The previous prime is 102401111. The next prime is 102401113. The reversal of 102401112 is 211104201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102401111) and next prime (102401113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102401111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46713 + ... + 48855.

It is an arithmetic number, because the mean of its divisors is an integer number (4389840).

Almost surely, 2^102401112 is an apocalyptic number.

102401112 is a gapful number since it is divisible by the number (12) 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 102401112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140474880).

102401112 is an abundant number, since it is smaller than the sum of its proper divisors (178548648).

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

102401112 is a wasteful number, since it uses less digits than its factorization.

102401112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102401112 is about 10119.3434569640. The cubic root of 102401112 is about 467.8445316015.

Adding to 102401112 its reverse (211104201), we get a palindrome (313505313).

The spelling of 102401112 in words is "one hundred two million, four hundred one thousand, one hundred twelve".