102011203003221 has 40 divisors (see below), whose sum is σ = 154198908509184. Its totient is φ = 67203162432000.

The previous prime is 102011203003187. The next prime is 102011203003253. The reversal of 102011203003221 is 122300302110201.

102011203003221 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 1 + 20 + 300 + 322 + 1 = 666.

It is not a de Polignac number, because 102011203003221 - 2¹⁴ = 102011202986837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102011203003194 and 102011203003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011203002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17171980 + ... + 22336053.

Almost surely, 2^{102011203003221} is an apocalyptic number.

It is an amenable number.

102011203003221 is a deficient number, since it is larger than the sum of its proper divisors (52187705505963).

102011203003221 is a wasteful number, since it uses less digits than its factorization.

102011203003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39508423 (or 39508414 counting only the distinct ones).

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

Adding to 102011203003221 its reverse (122300302110201), we get a palindrome (224311505113422).

The spelling of 102011203003221 in words is "one hundred two trillion, eleven billion, two hundred three million, three thousand, two hundred twenty-one".