1012100 has 36 divisors (see below), whose sum is σ = 2278500. Its totient is φ = 389760.

The previous prime is 1012097. The next prime is 1012103. The reversal of 1012100 is 12101.

It is a happy number.

1012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1012097) and next prime (1012103).

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 1012036 = 8^2 + 1006^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1012103) 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, 2726 + ... + 3074.

2^1012100 is an apocalyptic number.

1012100 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 1012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139250).

1012100 is an abundant number, since it is smaller than the sum of its proper divisors (1266400).

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

1012100 is a wasteful number, since it uses less digits than its factorization.

1012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1012100 is about 1006.0318086423. The cubic root of 1012100 is about 100.4017174037.

Adding to 1012100 its reverse (12101), we get a palindrome (1024201).

Subtracting from 1012100 its reverse (12101), we obtain a palindrome (999999).

The spelling of 1012100 in words is "one million, twelve thousand, one hundred".