2121000011000 has 128 divisors (see below), whose sum is σ = 5409319406400. Its totient is φ = 773702668800.

The previous prime is 2121000010999. The next prime is 2121000011017. The reversal of 2121000011000 is 1100001212.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96146 + ... + 2061854.

Almost surely, 2^{2121000011000} is an apocalyptic number.

2121000011000 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 2121000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704659703200).

2121000011000 is an abundant number, since it is smaller than the sum of its proper divisors (3288319395400).

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

2121000011000 is a wasteful number, since it uses less digits than its factorization.

2121000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965826 (or 1965812 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2121000011000 its reverse (1100001212), we get a palindrome (2122100012212).

The spelling of 2121000011000 in words is "two trillion, one hundred twenty-one billion, eleven thousand".