1002072100 has 36 divisors (see below), whose sum is σ = 2206966384. Its totient is φ = 394843680.

The previous prime is 1002072091. The next prime is 1002072121. The reversal of 1002072100 is 12702001.

1002072100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68082 + ... + 81481.

Almost surely, 2^1002072100 is an apocalyptic number.

1002072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002072100 is an abundant number, since it is smaller than the sum of its proper divisors (1204894284).

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

1002072100 is a wasteful number, since it uses less digits than its factorization.

1002072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149644 (or 149637 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1002072100 is about 31655.5224250051. The cubic root of 1002072100 is about 1000.6902234819.

Adding to 1002072100 its reverse (12702001), we get a palindrome (1014774101).

The spelling of 1002072100 in words is "one billion, two million, seventy-two thousand, one hundred".