2100201210 has 80 divisors (see below), whose sum is σ = 5682210336. Its totient is φ = 556582752.

The previous prime is 2100201203. The next prime is 2100201217. The reversal of 2100201210 is 121020012.

It is an interprime number because it is at equal distance from previous prime (2100201203) and next prime (2100201217).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100201192 and 2100201201.

It is not an unprimeable number, because it can be changed into a prime (2100201217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124077 + ... + 139983.

Almost surely, 2^2100201210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841105168).

2100201210 is an abundant number, since it is smaller than the sum of its proper divisors (3582009126).

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

2100201210 is a wasteful number, since it uses less digits than its factorization.

2100201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16089 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100201210 is about 45827.9522780584. The cubic root of 2100201210 is about 1280.6200629407.

Adding to 2100201210 its reverse (121020012), we get a palindrome (2221221222).

The spelling of 2100201210 in words is "two billion, one hundred million, two hundred one thousand, two hundred ten".