102012242212321 has 9 divisors (see below), whose sum is σ = 118667384409171. Its totient is φ = 87439004152752.

The previous prime is 102012242212297. The next prime is 102012242212379. The reversal of 102012242212321 is 123212242210201.

The square root of 102012242212321 is 10100111.

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., 27837706061025 + 74174536151296 = 5276145^2 + 8612464^2 .

It is not a de Polignac number, because 102012242212321 - 2¹⁷ = 102012242081249 is a prime.

It is a super-2 number, since 2×102012242212321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102012242212421) 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, 69979341 + ... + 71422213.

Almost surely, 2^{102012242212321} is an apocalyptic number.

102012242212321 is the 10100111-st square number.

102012242212321 is the 5050056-th centered octagonal number.

It is an amenable number.

102012242212321 is a deficient number, since it is larger than the sum of its proper divisors (16655142196850).

102012242212321 is an frugal number, since it uses more digits than its factorization.

102012242212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885760 (or 1442880 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 102012242212321 its reverse (123212242210201), we get a palindrome (225224484422522).

The spelling of 102012242212321 in words is "one hundred two trillion, twelve billion, two hundred forty-two million, two hundred twelve thousand, three hundred twenty-one".