2121131104 has 48 divisors (see below), whose sum is σ = 4341980160. Its totient is φ = 1018903680.

The previous prime is 2121131087. The next prime is 2121131113. The reversal of 2121131104 is 4011311212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130197 + ... + 145579.

It is an arithmetic number, because the mean of its divisors is an integer number (90457920).

Almost surely, 2^2121131104 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 2121131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170990080).

2121131104 is an abundant number, since it is smaller than the sum of its proper divisors (2220849056).

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

2121131104 is a wasteful number, since it uses less digits than its factorization.

2121131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15563 (or 15555 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2121131104 is about 46055.7390994868. The cubic root of 2121131104 is about 1284.8600843890.

Adding to 2121131104 its reverse (4011311212), we get a palindrome (6132442316).

It can be divided in two parts, 2121 and 131104, that added together give a square (133225 = 365²).

The spelling of 2121131104 in words is "two billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred four".