101401424104101 has 24 divisors (see below), whose sum is σ = 148626703391712. Its totient is φ = 61448646520800.

The previous prime is 101401424104061. The next prime is 101401424104129.

101401424104101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101401424104101 - 2⁶ = 101401424104037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101401424104171) 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, 12063666 + ... + 18663731.

It is an arithmetic number, because the mean of its divisors is an integer number (6192779307988).

Almost surely, 2^{101401424104101} is an apocalyptic number.

101401424104101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101401424104101 is a deficient number, since it is larger than the sum of its proper divisors (47225279287611).

101401424104101 is a wasteful number, since it uses less digits than its factorization.

101401424104101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30736513 (or 30736502 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

It can be divided in two parts, 10140 and 1424104101, that added together give a palindrome (1424114241).

The spelling of 101401424104101 in words is "one hundred one trillion, four hundred one billion, four hundred twenty-four million, one hundred four thousand, one hundred one".