1002012100 has 18 divisors (see below), whose sum is σ = 2174366474. Its totient is φ = 400804800.

The previous prime is 1002012071. The next prime is 1002012131. The reversal of 1002012100 is 12102001.

It can be written as a sum of positive squares in 3 ways, for example, as 144576576 + 857435524 = 12024^2 + 29282^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5009961 + ... + 5010160.

Almost surely, 2^1002012100 is an apocalyptic number.

1002012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002012100 is an abundant number, since it is smaller than the sum of its proper divisors (1172354374).

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

1002012100 is a wasteful number, since it uses less digits than its factorization.

1002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020135 (or 10020128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1002012100 is about 31654.5747088790. The cubic root of 1002012100 is about 1000.6702506637.

Adding to 1002012100 its reverse (12102001), we get a palindrome (1014114101).

The spelling of 1002012100 in words is "one billion, two million, twelve thousand, one hundred".