102200212011321 has 48 divisors (see below), whose sum is σ = 150153090993360. Its totient is φ = 66967185231360.

The previous prime is 102200212011307. The next prime is 102200212011377. The reversal of 102200212011321 is 123110212002201.

102200212011321 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 2 + 120 + 1 + 1 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5778908292096 + 96421303719225 = 2403936^2 + 9819435^2 .

It is not a de Polignac number, because 102200212011321 - 2⁶ = 102200212011257 is a prime.

It is a super-2 number, since 2×102200212011321² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102200212011294 and 102200212011303.

It is not an unprimeable number, because it can be changed into a prime (102200212081321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6539131735 + ... + 6539147363.

It is an arithmetic number, because the mean of its divisors is an integer number (3128189395695).

Almost surely, 2^{102200212011321} is an apocalyptic number.

It is an amenable number.

102200212011321 is a deficient number, since it is larger than the sum of its proper divisors (47952878982039).

102200212011321 is a wasteful number, since it uses less digits than its factorization.

102200212011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23706 (or 23703 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102200212011321 its reverse (123110212002201), we get a palindrome (225310424013522).

The spelling of 102200212011321 in words is "one hundred two trillion, two hundred billion, two hundred twelve million, eleven thousand, three hundred twenty-one".