2101332254120 has 128 divisors (see below), whose sum is σ = 5176137168000. Its totient is φ = 761410298880.

The previous prime is 2101332254111. The next prime is 2101332254171. The reversal of 2101332254120 is 214522331012.

It is a self number, because there is not a number n which added to its sum of digits gives 2101332254120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204942914 + ... + 204953166.

It is an arithmetic number, because the mean of its divisors is an integer number (40438571625).

Almost surely, 2^{2101332254120} is an apocalyptic number.

2101332254120 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 2101332254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588068584000).

2101332254120 is an abundant number, since it is smaller than the sum of its proper divisors (3074804913880).

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

2101332254120 is a wasteful number, since it uses less digits than its factorization.

2101332254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11883 (or 11879 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 2101332254120 its reverse (214522331012), we get a palindrome (2315854585132).

The spelling of 2101332254120 in words is "two trillion, one hundred one billion, three hundred thirty-two million, two hundred fifty-four thousand, one hundred twenty".