10000102002000 has 640 divisors, whose sum is σ = 37071807252480. Its totient is φ = 2293608960000.

The previous prime is 10000102001971. The next prime is 10000102002001. The reversal of 10000102002000 is 20020100001.

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 10000102002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000102002001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1016989084 + ... + 1016998916.

It is an arithmetic number, because the mean of its divisors is an integer number (57924698832).

Almost surely, 2^{10000102002000} is an apocalyptic number.

10000102002000 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 10000102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18535903626240).

10000102002000 is an abundant number, since it is smaller than the sum of its proper divisors (27071705250480).

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

10000102002000 is a wasteful number, since it uses less digits than its factorization.

10000102002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700 (or 10684 counting only the distinct ones).

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

Adding to 10000102002000 its reverse (20020100001), we get a palindrome (10020122102001).

The spelling of 10000102002000 in words is "ten trillion, one hundred two million, two thousand".