101014443434401 has 16 divisors (see below), whose sum is σ = 116900667721728. Its totient is φ = 85496713128000.

The previous prime is 101014443434389. The next prime is 101014443434441. The reversal of 101014443434401 is 104434344410101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101014443434401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101014443434441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191261185 + ... + 191788606.

It is an arithmetic number, because the mean of its divisors is an integer number (7306291732608).

Almost surely, 2^{101014443434401} is an apocalyptic number.

It is an amenable number.

101014443434401 is a deficient number, since it is larger than the sum of its proper divisors (15886224287327).

101014443434401 is a wasteful number, since it uses less digits than its factorization.

101014443434401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383050272.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 101014443434401 its reverse (104434344410101), we get a palindrome (205448787844502).

The spelling of 101014443434401 in words is "one hundred one trillion, fourteen billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred one".