2101012200 has 576 divisors, whose sum is σ = 8530704000. Its totient is φ = 462873600.

The previous prime is 2101012183. The next prime is 2101012217. The reversal of 2101012200 is 22101012.

It is an interprime number because it is at equal distance from previous prime (2101012183) and next prime (2101012217).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 25313359 + ... + 25313441.

It is an arithmetic number, because the mean of its divisors is an integer number (14810250).

Almost surely, 2^2101012200 is an apocalyptic number.

2101012200 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 2101012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352000).

2101012200 is an abundant number, since it is smaller than the sum of its proper divisors (6429691800).

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

2101012200 is a wasteful number, since it uses less digits than its factorization.

2101012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

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

The square root of 2101012200 is about 45836.7996265010. The cubic root of 2101012200 is about 1280.7848783256.

Adding to 2101012200 its reverse (22101012), we get a palindrome (2123113212).

The spelling of 2101012200 in words is "two billion, one hundred one million, twelve thousand, two hundred".