2121100001100 has 288 divisors, whose sum is σ = 7307059818240. Its totient is φ = 525939655680.

The previous prime is 2121100001003. The next prime is 2121100001123. The reversal of 2121100001100 is 11000011212.

It is a happy number.

It is a super-3 number, since 3×2121100001100³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3531319 + ... + 4088081.

It is an arithmetic number, because the mean of its divisors is an integer number (25371735480).

Almost surely, 2^{2121100001100} is an apocalyptic number.

2121100001100 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 2121100001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653529909120).

2121100001100 is an abundant number, since it is smaller than the sum of its proper divisors (5185959817140).

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

2121100001100 is a wasteful number, since it uses less digits than its factorization.

2121100001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556886 (or 556873 counting only the distinct ones).

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

Adding to 2121100001100 its reverse (11000011212), we get a palindrome (2132100012312).

The spelling of 2121100001100 in words is "two trillion, one hundred twenty-one billion, one hundred million, one thousand, one hundred".