2121130000000 has 384 divisors, whose sum is σ = 5809253682960. Its totient is φ = 770880000000.

The previous prime is 2121129999983. The next prime is 2121130000103. The reversal of 2121130000000 is 311212.

It can be written as a sum of positive squares in 8 ways, for example, as 2120332050496 + 797949504 = 1456136^2 + 28248^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209999124 + ... + 1210000876.

Almost surely, 2^{2121130000000} is an apocalyptic number.

2121130000000 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 2121130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904626841480).

2121130000000 is an abundant number, since it is smaller than the sum of its proper divisors (3688123682960).

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

2121130000000 is an frugal number, since it uses more digits than its factorization.

2121130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 2121130000000 its reverse (311212), we get a palindrome (2121130311212).

The spelling of 2121130000000 in words is "two trillion, one hundred twenty-one billion, one hundred thirty million", and thus it is an aban number.