101414011430220 has 96 divisors (see below), whose sum is σ = 284238665711616. Its totient is φ = 27017136576000.

The previous prime is 101414011430219. The next prime is 101414011430231. The reversal of 101414011430220 is 22034110414101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253416885 + ... + 253816755.

It is an arithmetic number, because the mean of its divisors is an integer number (2960819434496).

Almost surely, 2^{101414011430220} is an apocalyptic number.

101414011430220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101414011430220 is an abundant number, since it is smaller than the sum of its proper divisors (182824654281396).

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

101414011430220 is a wasteful number, since it uses less digits than its factorization.

101414011430220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404031 (or 404029 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101414011430220 its reverse (22034110414101), we get a palindrome (123448121844321).

The spelling of 101414011430220 in words is "one hundred one trillion, four hundred fourteen billion, eleven million, four hundred thirty thousand, two hundred twenty".