101400034224401 has 16 divisors (see below), whose sum is σ = 117126800461440. Its totient is φ = 86758182209280.

The previous prime is 101400034224371. The next prime is 101400034224421. The reversal of 101400034224401 is 104422430004101.

It is a cyclic number.

It is not a de Polignac number, because 101400034224401 - 2⁶ = 101400034224337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101400034224421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9860555 + ... + 17321391.

It is an arithmetic number, because the mean of its divisors is an integer number (7320425028840).

Almost surely, 2^{101400034224401} is an apocalyptic number.

101400034224401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101400034224401 is a deficient number, since it is larger than the sum of its proper divisors (15726766237039).

101400034224401 is a wasteful number, since it uses less digits than its factorization.

101400034224401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533544.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 101400034224401 its reverse (104422430004101), we get a palindrome (205822464228502).

The spelling of 101400034224401 in words is "one hundred one trillion, four hundred billion, thirty-four million, two hundred twenty-four thousand, four hundred one".