10010002000000 has 112 divisors (see below), whose sum is σ = 24926936985810. Its totient is φ = 4004000000000.

The previous prime is 10010001999983. The next prime is 10010002000007. The reversal of 10010002000000 is 20001001.

It can be written as a sum of positive squares in 7 ways, for example, as 7499754690624 + 2510247309376 = 2738568^2 + 1584376^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (10010002000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 502501 + ... + 4502500.

Almost surely, 2^{10010002000000} is an apocalyptic number.

10010002000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010002000000 is an abundant number, since it is smaller than the sum of its proper divisors (14916934985810).

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

10010002000000 is an frugal number, since it uses more digits than its factorization.

10010002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005045 (or 5005008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 10010002000000 its reverse (20001001), we get a palindrome (10010022001001).

It can be divided in two parts, 100 and 10002000000, that added together give a square (10002000100 = 100010²).

The spelling of 10010002000000 in words is "ten trillion, ten billion, two million", and thus it is an aban number and an uban number.