10002010000 has 100 divisors (see below), whose sum is σ = 25269311232. Its totient is φ = 3826768000.

The previous prime is 10002009991. The next prime is 10002010009. The reversal of 10002010000 is 1020001.

It is an interprime number because it is at equal distance from previous prime (10002009991) and next prime (10002010009).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×10002010000³ (a number of 31 digits) contains 333 as substring.

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 (10002010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 208257 + ... + 251743.

Almost surely, 2^10002010000 is an apocalyptic number.

10002010000 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 10002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12634655616).

10002010000 is an abundant number, since it is smaller than the sum of its proper divisors (15267301232).

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

10002010000 is an equidigital number, since it uses as much as digits as its factorization.

10002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43538 (or 43517 counting only the distinct ones).

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

Adding to 10002010000 its reverse (1020001), we get a palindrome (10003030001).

The spelling of 10002010000 in words is "ten billion, two million, ten thousand".