2011000210000 has 100 divisors (see below), whose sum is σ = 5155234962372. Its totient is φ = 757082368000.

The previous prime is 2011000209989. The next prime is 2011000210003. The reversal of 2011000210000 is 120001102.

It can be written as a sum of positive squares in 10 ways, for example, as 717903733264 + 1293096476736 = 847292^2 + 1137144^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000210003) 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, 5744707 + ... + 6084706.

Almost surely, 2^{2011000210000} is an apocalyptic number.

2011000210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011000210000 is an abundant number, since it is smaller than the sum of its proper divisors (3144234752372).

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

2011000210000 is a wasteful number, since it uses less digits than its factorization.

2011000210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11829458 (or 11829437 counting only the distinct ones).

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

Adding to 2011000210000 its reverse (120001102), we get a palindrome (2011120211102).

The spelling of 2011000210000 in words is "two trillion, eleven billion, two hundred ten thousand".