101411434411101 has 28 divisors (see below), whose sum is σ = 152897024558880. Its totient is φ = 67229926636680.

The previous prime is 101411434411057. The next prime is 101411434411139. The reversal of 101411434411101 is 101114434114101.

101411434411101 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 143 + 4 + 411 + 101 = 666.

It is not a de Polignac number, because 101411434411101 - 2²¹ = 101411432313949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101411434311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 388445865 + ... + 388706846.

It is an arithmetic number, because the mean of its divisors is an integer number (5460608019960).

Almost surely, 2^{101411434411101} is an apocalyptic number.

It is an amenable number.

101411434411101 is a deficient number, since it is larger than the sum of its proper divisors (51485590147779).

101411434411101 is an frugal number, since it uses more digits than its factorization.

101411434411101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777152908 (or 777152893 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 101411434411101 its reverse (101114434114101), we get a palindrome (202525868525202).

The spelling of 101411434411101 in words is "one hundred one trillion, four hundred eleven billion, four hundred thirty-four million, four hundred eleven thousand, one hundred one".