2101002010000 has 100 divisors (see below), whose sum is σ = 5092366258672. Its totient is φ = 839470608000.

The previous prime is 2101002009943. The next prime is 2101002010031. The reversal of 2101002010000 is 102001012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8954179 + ... + 9185821.

Almost surely, 2^{2101002010000} is an apocalyptic number.

2101002010000 is a gapful number since it is divisible by the number (20) 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 2101002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546183129336).

2101002010000 is an abundant number, since it is smaller than the sum of its proper divisors (2991364248672).

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

2101002010000 is an equidigital number, since it uses as much as digits as its factorization.

2101002010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232578 (or 232557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2101002010000 its reverse (102001012), we get a palindrome (2101104011012).

It can be divided in two parts, 210100 and 2010000, that added together give a square (2220100 = 1490²).

The spelling of 2101002010000 in words is "two trillion, one hundred one billion, two million, ten thousand".