10000012100 has 72 divisors (see below), whose sum is σ = 23394726600. Its totient is φ = 3688289280.

The previous prime is 10000012097. The next prime is 10000012157. The reversal of 10000012100 is 121000001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5580687616 + 4419324484 = 74704^2 + 66478^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360034 + ... + 1367366.

Almost surely, 2^10000012100 is an apocalyptic number.

10000012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11697363300).

10000012100 is an abundant number, since it is smaller than the sum of its proper divisors (13394714500).

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

10000012100 is a wasteful number, since it uses less digits than its factorization.

10000012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000012100 its reverse (121000001), we get a palindrome (10121012101).

The spelling of 10000012100 in words is "ten billion, twelve thousand, one hundred".