1010100 has 144 divisors (see below), whose sum is σ = 3694208. Its totient is φ = 207360.

The previous prime is 1010083. The next prime is 1010129. The reversal of 1010100 is 10101.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27282 + ... + 27318.

2^1010100 is an apocalyptic number.

1010100 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 1010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847104).

1010100 is an abundant number, since it is smaller than the sum of its proper divisors (2684108).

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

1010100 is a wasteful number, since it uses less digits than its factorization.

1010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1010100 is about 1005.0373127402. The cubic root of 1010100 is about 100.3355395396.

Adding to 1010100 its reverse (10101), we get a palindrome (1020201).

Subtracting from 1010100 its reverse (10101), we obtain a palindrome (999999).

Multiplying 1010100 by its reverse (10101), we get a square (10203020100 = 101010²).

1010100 divided by its reverse (10101) gives a square (100 = 10²).

The spelling of 1010100 in words is "one million, ten thousand, one hundred".