211111010002000 has 80 divisors (see below), whose sum is σ = 540493858870992. Its totient is φ = 79477086105600.

The previous prime is 211111010001973. The next prime is 211111010002043. The reversal of 211111010002000 is 200010111112.

It can be written as a sum of positive squares in 8 ways, for example, as 37134593441856 + 173976416560144 = 6093816^2 + 13190012^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3104539677 + ... + 3104607676.

Almost surely, 2^{211111010002000} is an apocalyptic number.

211111010002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111010002000 is an abundant number, since it is smaller than the sum of its proper divisors (329382848868992).

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

211111010002000 is a wasteful number, since it uses less digits than its factorization.

211111010002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209147393 (or 6209147377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211111010002000 its reverse (200010111112), we get a palindrome (211311020113112).

The spelling of 211111010002000 in words is "two hundred eleven trillion, one hundred eleven billion, ten million, two thousand".