2122100032 has 28 divisors (see below), whose sum is σ = 4534970356. Its totient is φ = 979430400.

The previous prime is 2122100011. The next prime is 2122100033. The reversal of 2122100032 is 2300012212.

It can be written as a sum of positive squares in 2 ways, for example, as 299151616 + 1822948416 = 17296^2 + 42696^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2122099985 and 2122100021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122100033) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1274469 + ... + 1276132.

It is an arithmetic number, because the mean of its divisors is an integer number (161963227).

Almost surely, 2^2122100032 is an apocalyptic number.

It is an amenable number.

2122100032 is an abundant number, since it is smaller than the sum of its proper divisors (2412870324).

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

2122100032 is a wasteful number, since it uses less digits than its factorization.

2122100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550626 (or 2550616 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2122100032 is about 46066.2569784001. The cubic root of 2122100032 is about 1285.0556950228.

Adding to 2122100032 its reverse (2300012212), we get a palindrome (4422112244).

The spelling of 2122100032 in words is "two billion, one hundred twenty-two million, one hundred thousand, thirty-two".