2111201000 has 64 divisors (see below), whose sum is σ = 4949128080. Its totient is φ = 842956800.

The previous prime is 2111200997. The next prime is 2111201009. The reversal of 2111201000 is 1021112.

It can be written as a sum of positive squares in 8 ways, for example, as 427083556 + 1684117444 = 20666^2 + 41038^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2111201009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671432 + ... + 674568.

Almost surely, 2^2111201000 is an apocalyptic number.

2111201000 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 2111201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474564040).

2111201000 is an abundant number, since it is smaller than the sum of its proper divisors (2837927080).

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

2111201000 is a wasteful number, since it uses less digits than its factorization.

2111201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2111201000 is about 45947.8073470323. The cubic root of 2111201000 is about 1282.8519174035.

Adding to 2111201000 its reverse (1021112), we get a palindrome (2112222112).

The spelling of 2111201000 in words is "two billion, one hundred eleven million, two hundred one thousand".