10012002000 has 640 divisors, whose sum is σ = 43365224448. Its totient is φ = 1919232000.

The previous prime is 10012001971. The next prime is 10012002019. The reversal of 10012002000 is 20021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10012002000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6005167 + ... + 6006833.

Almost surely, 2^10012002000 is an apocalyptic number.

10012002000 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 10012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682612224).

10012002000 is an abundant number, since it is smaller than the sum of its proper divisors (33353222448).

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

10012002000 is a wasteful number, since it uses less digits than its factorization.

10012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10012002000 its reverse (20021001), we get a palindrome (10032023001).

It can be divided in two parts, 1001 and 2002000, that added together give a triangular number (2003001 = T₂₀₀₁).

The spelling of 10012002000 in words is "ten billion, twelve million, two thousand".