10114333432401 has 32 divisors (see below), whose sum is σ = 14903412480000. Its totient is φ = 6050099465280.

The previous prime is 10114333432391. The next prime is 10114333432403. The reversal of 10114333432401 is 10423433341101.

It is not a de Polignac number, because 10114333432401 - 2¹¹ = 10114333430353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10114333432403) 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 31 ways as a sum of consecutive naturals, for example, 6460990 + ... + 7872296.

It is an arithmetic number, because the mean of its divisors is an integer number (465731640000).

Almost surely, 2^{10114333432401} is an apocalyptic number.

10114333432401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10114333432401 is a deficient number, since it is larger than the sum of its proper divisors (4789079047599).

10114333432401 is a wasteful number, since it uses less digits than its factorization.

10114333432401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414149.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 10114333432401 its reverse (10423433341101), we get a palindrome (20537766773502).

The spelling of 10114333432401 in words is "ten trillion, one hundred fourteen billion, three hundred thirty-three million, four hundred thirty-two thousand, four hundred one".