2121122210000 has 100 divisors (see below), whose sum is σ = 5186297481684. Its totient is φ = 840048000000.

The previous prime is 2121122209993. The next prime is 2121122210047. The reversal of 2121122210000 is 122211212.

It can be written as a sum of positive squares in 10 ways, for example, as 520816248976 + 1600305961024 = 721676^2 + 1265032^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40061 + ... + 2060060.

Almost surely, 2^{2121122210000} is an apocalyptic number.

2121122210000 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 2121122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593148740842).

2121122210000 is an abundant number, since it is smaller than the sum of its proper divisors (3065175271684).

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

2121122210000 is a wasteful number, since it uses less digits than its factorization.

2121122210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100250 (or 2100229 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2121122210000 its reverse (122211212), we get a palindrome (2121244421212).

The spelling of 2121122210000 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand".