102002001213321 has 48 divisors (see below), whose sum is σ = 162462088314240. Its totient is φ = 61155168480000.

The previous prime is 102002001213271. The next prime is 102002001213349. The reversal of 102002001213321 is 123312100200201.

102002001213321 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 200 + 121 + 3 + 321 = 666.

It is not a de Polignac number, because 102002001213321 - 2⁷ = 102002001213193 is a prime.

It is a super-2 number, since 2×102002001213321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102002001213294 and 102002001213303.

It is not an unprimeable number, because it can be changed into a prime (102002001213391) 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, 680980 + ... + 14299221.

It is an arithmetic number, because the mean of its divisors is an integer number (3384626839880).

Almost surely, 2^{102002001213321} is an apocalyptic number.

102002001213321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102002001213321 is a deficient number, since it is larger than the sum of its proper divisors (60460087100919).

102002001213321 is a wasteful number, since it uses less digits than its factorization.

102002001213321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14980958 (or 14980955 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102002001213321 its reverse (123312100200201), we get a palindrome (225314101413522).

The spelling of 102002001213321 in words is "one hundred two trillion, two billion, one million, two hundred thirteen thousand, three hundred twenty-one".