10002012100 has 18 divisors (see below), whose sum is σ = 21704366474. Its totient is φ = 4000804800.

The previous prime is 10002012089. The next prime is 10002012107. The reversal of 10002012100 is 121020001.

It can be written as a sum of positive squares in 3 ways, for example, as 150258564 + 9851753536 = 12258^2 + 99256^2 .

It is not an unprimeable number, because it can be changed into a prime (10002012107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50009961 + ... + 50010160.

Almost surely, 2^10002012100 is an apocalyptic number.

10002012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002012100 is an abundant number, since it is smaller than the sum of its proper divisors (11702354374).

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

10002012100 is a wasteful number, since it uses less digits than its factorization.

10002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100020135 (or 100020128 counting only the distinct ones).

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

Adding to 10002012100 its reverse (121020001), we get a palindrome (10123032101).

The spelling of 10002012100 in words is "ten billion, two million, twelve thousand, one hundred".