211002010000 has 100 divisors (see below), whose sum is σ = 520497084492. Its totient is φ = 82808128000.

The previous prime is 211002009943. The next prime is 211002010039. The reversal of 211002010000 is 10200112.

It can be written as a sum of positive squares in 10 ways, for example, as 85002568704 + 125999441296 = 291552^2 + 354964^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 330942 + ... + 729058.

Almost surely, 2^211002010000 is an apocalyptic number.

211002010000 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 211002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260248542246).

211002010000 is an abundant number, since it is smaller than the sum of its proper divisors (309495074492).

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

211002010000 is an equidigital number, since it uses as much as digits as its factorization.

211002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398198 (or 398177 counting only the distinct ones).

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

Adding to 211002010000 its reverse (10200112), we get a palindrome (211012210112).

The spelling of 211002010000 in words is "two hundred eleven billion, two million, ten thousand".