103221303201 has 48 divisors (see below), whose sum is σ = 154750469328. Its totient is φ = 66253824000.

The previous prime is 103221303193. The next prime is 103221303223. The reversal of 103221303201 is 102303122301.

103221303201 is a `hidden beast` number, since 10 + 322 + 13 + 0 + 320 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10440752400 + 92780550801 = 102180^2 + 304599^2 .

It is not a de Polignac number, because 103221303201 - 2³ = 103221303193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103221303301) 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, 11809905 + ... + 11818641.

It is an arithmetic number, because the mean of its divisors is an integer number (3223968111).

Almost surely, 2^103221303201 is an apocalyptic number.

It is an amenable number.

103221303201 is a deficient number, since it is larger than the sum of its proper divisors (51529166127).

103221303201 is a wasteful number, since it uses less digits than its factorization.

103221303201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9202 (or 9199 counting only the distinct ones).

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

Adding to 103221303201 its reverse (102303122301), we get a palindrome (205524425502).

The spelling of 103221303201 in words is "one hundred three billion, two hundred twenty-one million, three hundred three thousand, two hundred one".