102013300030221 has 12 divisors (see below), whose sum is σ = 151335045690972. Its totient is φ = 66170789208576.

The previous prime is 102013300030211. The next prime is 102013300030259. The reversal of 102013300030221 is 122030003310201.

102013300030221 is a `hidden beast` number, since 10 + 2 + 0 + 1 + 330 + 0 + 0 + 302 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81505036784196 + 20508263246025 = 9028014^2 + 4528605^2 .

It is not a de Polignac number, because 102013300030221 - 2⁹ = 102013300029709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102013300030194 and 102013300030203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013300030211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153173122836 + ... + 153173123501.

It is an arithmetic number, because the mean of its divisors is an integer number (12611253807581).

Almost surely, 2^{102013300030221} is an apocalyptic number.

It is an amenable number.

102013300030221 is a deficient number, since it is larger than the sum of its proper divisors (49321745660751).

102013300030221 is a wasteful number, since it uses less digits than its factorization.

102013300030221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306346246380 (or 306346246377 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102013300030221 its reverse (122030003310201), we get a palindrome (224043303340422).

The spelling of 102013300030221 in words is "one hundred two trillion, thirteen billion, three hundred million, thirty thousand, two hundred twenty-one".