10204121083321 has 9 divisors (see below), whose sum is σ = 11216138656933. Its totient is φ = 9276441768220.

The previous prime is 10204121083283. The next prime is 10204121083327. The reversal of 10204121083321 is 12338012140201.

The square root of 10204121083321 is 3194389.

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

10204121083321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10204121083321 - 2¹⁹ = 10204120559033 is a prime.

It is a super-2 number, since 2×10204121083321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10204121083321.

It is not an unprimeable number, because it can be changed into a prime (10204121083327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34993080 + ... + 35283478.

Almost surely, 2^{10204121083321} is an apocalyptic number.

10204121083321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10204121083321 is the 3194389-th square number.

10204121083321 is the 1597195-th centered octagonal number.

It is an amenable number.

10204121083321 is a deficient number, since it is larger than the sum of its proper divisors (1012017573612).

10204121083321 is an frugal number, since it uses more digits than its factorization.

10204121083321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580820 (or 290410 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 10204121083321 in words is "ten trillion, two hundred four billion, one hundred twenty-one million, eighty-three thousand, three hundred twenty-one".