10201414120001 has 8 divisors (see below), whose sum is σ = 10986165743784. Its totient is φ = 9416666419200.

The previous prime is 10201414119887. The next prime is 10201414120031. The reversal of 10201414120001 is 10002141410201.

It can be written as a sum of positive squares in 4 ways, for example, as 85509456400 + 10115904663601 = 292420^2 + 3180551^2 .

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 10201414120001 - 2¹⁰ = 10201414118977 is a prime.

It is a super-3 number, since 3×10201414120001³ (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 (10201414120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6577601 + ... + 7979201.

It is an arithmetic number, because the mean of its divisors is an integer number (1373270717973).

Almost surely, 2^{10201414120001} is an apocalyptic number.

It is an amenable number.

10201414120001 is a deficient number, since it is larger than the sum of its proper divisors (784751623783).

10201414120001 is a wasteful number, since it uses less digits than its factorization.

10201414120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961491.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10201414120001 its reverse (10002141410201), we get a palindrome (20203555530202).

The spelling of 10201414120001 in words is "ten trillion, two hundred one billion, four hundred fourteen million, one hundred twenty thousand, one".