101434413144411 has 24 divisors (see below), whose sum is σ = 147861485291520. Its totient is φ = 67002129504000.

The previous prime is 101434413144367. The next prime is 101434413144433. The reversal of 101434413144411 is 114441314434101.

101434413144411 is a `hidden beast` number, since 1 + 0 + 1 + 43 + 44 + 131 + 4 + 441 + 1 = 666.

It is not a de Polignac number, because 101434413144411 - 2²¹ = 101434411047259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101434413144451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286619491 + ... + 286973171.

It is an arithmetic number, because the mean of its divisors is an integer number (6160895220480).

Almost surely, 2^{101434413144411} is an apocalyptic number.

101434413144411 is a deficient number, since it is larger than the sum of its proper divisors (46427072147109).

101434413144411 is a wasteful number, since it uses less digits than its factorization.

101434413144411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646147 (or 646144 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 101434413144411 its reverse (114441314434101), we get a palindrome (215875727578512).

The spelling of 101434413144411 in words is "one hundred one trillion, four hundred thirty-four billion, four hundred thirteen million, one hundred forty-four thousand, four hundred eleven".