112101000 has 256 divisors, whose sum is σ = 395366400. Its totient is φ = 26208000.

The previous prime is 112100987. The next prime is 112101013. The reversal of 112101000 is 101211.

It is an interprime number because it is at equal distance from previous prime (112100987) and next prime (112101013).

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 112101000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1418961 + ... + 1419039.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 2^112101000 is an apocalyptic number.

112101000 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 112101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197683200).

112101000 is an abundant number, since it is smaller than the sum of its proper divisors (283265400).

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

112101000 is a wasteful number, since it uses less digits than its factorization.

112101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

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

The square root of 112101000 is about 10587.7759704293. The cubic root of 112101000 is about 482.1733047595.

Adding to 112101000 its reverse (101211), we get a palindrome (112202211).

The spelling of 112101000 in words is "one hundred twelve million, one hundred one thousand".