2121011011200 has 192 divisors, whose sum is σ = 7397026470720. Its totient is φ = 532332134400.

The previous prime is 2121011011187. The next prime is 2121011011201. The reversal of 2121011011200 is 21101101212.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2121011011200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2121011011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6334996 + ... + 6661395.

It is an arithmetic number, because the mean of its divisors is an integer number (38526179535).

Almost surely, 2^{2121011011200} is an apocalyptic number.

2121011011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121011011200 is an abundant number, since it is smaller than the sum of its proper divisors (5276015459520).

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

2121011011200 is a wasteful number, since it uses less digits than its factorization.

2121011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12996435 (or 12996418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2121011011200 its reverse (21101101212), we get a palindrome (2142112112412).

The spelling of 2121011011200 in words is "two trillion, one hundred twenty-one billion, eleven million, eleven thousand, two hundred".