2121010011200 has 84 divisors (see below), whose sum is σ = 5224897644672. Its totient is φ = 847446950400.

The previous prime is 2121010011173. The next prime is 2121010011223. The reversal of 2121010011200 is 21100101212.

It is a super-2 number, since 2×2121010011200² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 671945 + ... + 2166455.

Almost surely, 2^{2121010011200} is an apocalyptic number.

2121010011200 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 2121010011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612448822336).

2121010011200 is an abundant number, since it is smaller than the sum of its proper divisors (3103887633472).

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

2121010011200 is a wasteful number, since it uses less digits than its factorization.

2121010011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495420 (or 1495405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2121010011200 its reverse (21100101212), we get a palindrome (2142110112412).

The spelling of 2121010011200 in words is "two trillion, one hundred twenty-one billion, ten million, eleven thousand, two hundred".