101414421120440 has 128 divisors (see below), whose sum is σ = 229416550776000. Its totient is φ = 40346972467200.

The previous prime is 101414421120433. The next prime is 101414421120443. The reversal of 101414421120440 is 44021124414101.

It is a super-2 number, since 2×101414421120440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101414421120443) 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 31 ways as a sum of consecutive naturals, for example, 25423517966 + ... + 25423521954.

Almost surely, 2^{101414421120440} is an apocalyptic number.

101414421120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101414421120440 is an abundant number, since it is smaller than the sum of its proper divisors (128002129655560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101414421120440 is a wasteful number, since it uses less digits than its factorization.

101414421120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7881 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 101414421120440 its reverse (44021124414101), we get a palindrome (145435545534541).

The spelling of 101414421120440 in words is "one hundred one trillion, four hundred fourteen billion, four hundred twenty-one million, one hundred twenty thousand, four hundred forty".