2101101010200 has 72 divisors (see below), whose sum is σ = 7056197565300. Its totient is φ = 560293602240.

The previous prime is 2101101010163. The next prime is 2101101010247. The reversal of 2101101010200 is 20101011012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 583637370 + ... + 583640969.

Almost surely, 2^{2101101010200} is an apocalyptic number.

2101101010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101101010200 is an abundant number, since it is smaller than the sum of its proper divisors (4955096555100).

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

2101101010200 is a wasteful number, since it uses less digits than its factorization.

2101101010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167278361 (or 1167278349 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101101010200 its reverse (20101011012), we get a palindrome (2121202021212).

The spelling of 2101101010200 in words is "two trillion, one hundred one billion, one hundred one million, ten thousand, two hundred".