10214004130001 has 96 divisors (see below), whose sum is σ = 13096477675008. Its totient is φ = 7761635481600.

The previous prime is 10214004129977. The next prime is 10214004130019. The reversal of 10214004130001 is 10003140041201.

It is a happy number.

It is not a de Polignac number, because 10214004130001 - 2¹⁴ = 10214004113617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10214004130051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974213091 + ... + 11974213943.

It is an arithmetic number, because the mean of its divisors is an integer number (136421642448).

Almost surely, 2^{10214004130001} is an apocalyptic number.

It is an amenable number.

10214004130001 is a deficient number, since it is larger than the sum of its proper divisors (2882473545007).

10214004130001 is an equidigital number, since it uses as much as digits as its factorization.

10214004130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10214004130001 its reverse (10003140041201), we get a palindrome (20217144171202).

The spelling of 10214004130001 in words is "ten trillion, two hundred fourteen billion, four million, one hundred thirty thousand, one".