2121132213032 has 128 divisors (see below), whose sum is σ = 4853808230400. Its totient is φ = 848747289600.

The previous prime is 2121132213029. The next prime is 2121132213097. The reversal of 2121132213032 is 2303122311212.

It is a junction number, because it is equal to n+sod(n) for n = 2121132212989 and 2121132213007.

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, 297866432 + ... + 297873552.

It is an arithmetic number, because the mean of its divisors is an integer number (37920376800).

Almost surely, 2^{2121132213032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121132213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426904115200).

2121132213032 is an abundant number, since it is smaller than the sum of its proper divisors (2732676017368).

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

2121132213032 is a wasteful number, since it uses less digits than its factorization.

2121132213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11167 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2121132213032 its reverse (2303122311212), we get a palindrome (4424254524244).

The spelling of 2121132213032 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred thirteen thousand, thirty-two".