12102201202001 has 8 divisors (see below), whose sum is σ = 13160422293480. Its totient is φ = 11082460877568.

The previous prime is 12102201201949. The next prime is 12102201202009. The reversal of 12102201202001 is 10020210220121.

It can be written as a sum of positive squares in 4 ways, for example, as 5617279206400 + 6484921995601 = 2370080^2 + 2546551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12102201202001 - 2¹⁰ = 12102201200977 is a prime.

It is a super-3 number, since 3×12102201202001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12102201202009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9620191106 + ... + 9620192363.

It is an arithmetic number, because the mean of its divisors is an integer number (1645052786685).

Almost surely, 2^{12102201202001} is an apocalyptic number.

It is an amenable number.

12102201202001 is a deficient number, since it is larger than the sum of its proper divisors (1058221091479).

12102201202001 is a wasteful number, since it uses less digits than its factorization.

12102201202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19240383523.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12102201202001 its reverse (10020210220121), we get a palindrome (22122411422122).

The spelling of 12102201202001 in words is "twelve trillion, one hundred two billion, two hundred one million, two hundred two thousand, one".