2101113123132 has 96 divisors (see below), whose sum is σ = 5419095091200. Its totient is φ = 630231985152.

The previous prime is 2101113123127. The next prime is 2101113123133. The reversal of 2101113123132 is 2313213111012.

It is a junction number, because it is equal to n+sod(n) for n = 2101113123099 and 2101113123108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101113123133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10547469 + ... + 10744827.

It is an arithmetic number, because the mean of its divisors is an integer number (56448907200).

Almost surely, 2^{2101113123132} 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 2101113123132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709547545600).

2101113123132 is an abundant number, since it is smaller than the sum of its proper divisors (3317981968068).

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

2101113123132 is a wasteful number, since it uses less digits than its factorization.

2101113123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199675 (or 199673 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 2101113123132 its reverse (2313213111012), we get a palindrome (4414326234144).

The spelling of 2101113123132 in words is "two trillion, one hundred one billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred thirty-two".