102030313221 has 48 divisors (see below), whose sum is σ = 153118852848. Its totient is φ = 65415168000.

The previous prime is 102030313201. The next prime is 102030313223. The reversal of 102030313221 is 122313030201.

102030313221 is a `hidden beast` number, since 102 + 0 + 30 + 313 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 74643704100 + 27386609121 = 273210^2 + 165489^2 .

It is not a de Polignac number, because 102030313221 - 2⁷ = 102030313093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102030313194 and 102030313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102030313223) 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, 22767301 + ... + 22771781.

It is an arithmetic number, because the mean of its divisors is an integer number (3189976101).

Almost surely, 2^102030313221 is an apocalyptic number.

It is an amenable number.

102030313221 is a deficient number, since it is larger than the sum of its proper divisors (51088539627).

102030313221 is a wasteful number, since it uses less digits than its factorization.

102030313221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5299 counting only the distinct ones).

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

Adding to 102030313221 its reverse (122313030201), we get a palindrome (224343343422).

The spelling of 102030313221 in words is "one hundred two billion, thirty million, three hundred thirteen thousand, two hundred twenty-one".