1001010100 has 18 divisors (see below), whose sum is σ = 2172192134. Its totient is φ = 400404000.

The previous prime is 1001010053. The next prime is 1001010103. The reversal of 1001010100 is 10101001.

It can be written as a sum of positive squares in 3 ways, for example, as 4218916 + 996791184 = 2054^2 + 31572^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1001010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5004951 + ... + 5005150.

Almost surely, 2^1001010100 is an apocalyptic number.

1001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010100 is an abundant number, since it is smaller than the sum of its proper divisors (1171182034).

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

1001010100 is a wasteful number, since it uses less digits than its factorization.

1001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010115 (or 10010108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1001010100 is about 31638.7436539443. The cubic root of 1001010100 is about 1000.3365866967.

Adding to 1001010100 its reverse (10101001), we get a palindrome (1011111101).

Subtracting from 1001010100 its reverse (10101001), we obtain a palindrome (990909099).

The spelling of 1001010100 in words is "one billion, one million, ten thousand, one hundred".