12121020201001 has 8 divisors (see below), whose sum is σ = 12131737444008. Its totient is φ = 12110304000000.

The previous prime is 12121020200999. The next prime is 12121020201007. The reversal of 12121020201001 is 10010202012121.

It can be written as a sum of positive squares in 4 ways, for example, as 1683752784025 + 10437267416976 = 1297595^2 + 3230676^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12121020201001 - 2¹ = 12121020200999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12121020201007) 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, 24011601 + ... + 24511201.

It is an arithmetic number, because the mean of its divisors is an integer number (1516467180501).

Almost surely, 2^{12121020201001} is an apocalyptic number.

It is an amenable number.

12121020201001 is a deficient number, since it is larger than the sum of its proper divisors (10717243007).

12121020201001 is a wasteful number, since it uses less digits than its factorization.

12121020201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521003.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12121020201001 its reverse (10010202012121), we get a palindrome (22131222213122).

The spelling of 12121020201001 in words is "twelve trillion, one hundred twenty-one billion, twenty million, two hundred one thousand, one".