2101011101200 has 120 divisors (see below), whose sum is σ = 5640865898976. Its totient is φ = 745369728000.

The previous prime is 2101011101171. The next prime is 2101011101207. The reversal of 2101011101200 is 21011101012.

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

It is not an unprimeable number, because it can be changed into a prime (2101011101207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5642802 + ... + 6003601.

Almost surely, 2^{2101011101200} is an apocalyptic number.

2101011101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101011101200 is an abundant number, since it is smaller than the sum of its proper divisors (3539854797776).

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

2101011101200 is a wasteful number, since it uses less digits than its factorization.

2101011101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11646473 (or 11646462 counting only the distinct ones).

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

Adding to 2101011101200 its reverse (21011101012), we get a palindrome (2122022202212).

The spelling of 2101011101200 in words is "two trillion, one hundred one billion, eleven million, one hundred one thousand, two hundred".