101424424101 has 64 divisors (see below), whose sum is σ = 183072239616. Its totient is φ = 48634914240.

The previous prime is 101424424067. The next prime is 101424424103.

101424424101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101424424101 - 2⁷ = 101424423973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101424424103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223800 + ... + 502926.

It is an arithmetic number, because the mean of its divisors is an integer number (2860503744).

Almost surely, 2^101424424101 is an apocalyptic number.

101424424101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101424424101 is a deficient number, since it is larger than the sum of its proper divisors (81647815515).

101424424101 is a wasteful number, since it uses less digits than its factorization.

101424424101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279183 (or 279161 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 101424 and 424101, that added together give a palindrome (525525).

The spelling of 101424424101 in words is "one hundred one billion, four hundred twenty-four million, four hundred twenty-four thousand, one hundred one".