1006122100 has 18 divisors (see below), whose sum is σ = 2183285174. Its totient is φ = 402448800.

The previous prime is 1006122037. The next prime is 1006122149. The reversal of 1006122100 is 12216001.

It can be written as a sum of positive squares in 3 ways, for example, as 328769424 + 677352676 = 18132^2 + 26026^2 .

It is a congruent number.

It is an unprimeable number.

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, 5030511 + ... + 5030710.

Almost surely, 2^1006122100 is an apocalyptic number.

1006122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006122100 is an abundant number, since it is smaller than the sum of its proper divisors (1177163074).

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

1006122100 is a wasteful number, since it uses less digits than its factorization.

1006122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061235 (or 10061228 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1006122100 is about 31719.4278006398. The cubic root of 1006122100 is about 1002.0365496500.

Adding to 1006122100 its reverse (12216001), we get a palindrome (1018338101).

The spelling of 1006122100 in words is "one billion, six million, one hundred twenty-two thousand, one hundred".