10002110101000 has 128 divisors (see below), whose sum is σ = 23439217950720. Its totient is φ = 3994989600000.

The previous prime is 10002110100971. The next prime is 10002110101003. The reversal of 10002110101000 is 10101120001.

It is not an unprimeable number, because it can be changed into a prime (10002110101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3105279390 + ... + 3105282610.

It is an arithmetic number, because the mean of its divisors is an integer number (183118890240).

Almost surely, 2^{10002110101000} is an apocalyptic number.

10002110101000 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 10002110101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719608975360).

10002110101000 is an abundant number, since it is smaller than the sum of its proper divisors (13437107849720).

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

10002110101000 is a wasteful number, since it uses less digits than its factorization.

10002110101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10002110101000 its reverse (10101120001), we get a palindrome (10012211221001).

The spelling of 10002110101000 in words is "ten trillion, two billion, one hundred ten million, one hundred one thousand".