21292032120241 has 27 divisors (see below), whose sum is σ = 22357762033131. Its totient is φ = 20275435455264.

The previous prime is 21292032120223. The next prime is 21292032120257. The reversal of 21292032120241 is 14202123029212.

It is a happy number.

The square root of 21292032120241 is 4614329.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18414612000625 + 2877420119616 = 4291225^2 + 1696296^2 .

It is not a de Polignac number, because 21292032120241 - 2¹¹ = 21292032118193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21292032120341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46590879685 + ... + 46590880141.

Almost surely, 2^{21292032120241} is an apocalyptic number.

21292032120241 is the 4614329-th square number.

21292032120241 is the 2307165-th centered octagonal number.

It is an amenable number.

21292032120241 is a deficient number, since it is larger than the sum of its proper divisors (1065729912890).

21292032120241 is an frugal number, since it uses more digits than its factorization.

21292032120241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 21292032120241 its reverse (14202123029212), we get a palindrome (35494155149453).

The spelling of 21292032120241 in words is "twenty-one trillion, two hundred ninety-two billion, thirty-two million, one hundred twenty thousand, two hundred forty-one".