101111431134224 has 30 divisors (see below), whose sum is σ = 227887626040254. Its totient is φ = 43333470485760.

The previous prime is 101111431134187. The next prime is 101111431134229. The reversal of 101111431134224 is 422431134111101.

It can be written as a sum of positive squares in only one way, i.e., 96223935984400 + 4887495149824 = 9809380^2 + 2210768^2 .

It is not an unprimeable number, because it can be changed into a prime (101111431134229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64484330297 + ... + 64484331864.

Almost surely, 2^{101111431134224} is an apocalyptic number.

101111431134224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101111431134224 is an abundant number, since it is smaller than the sum of its proper divisors (126776194906030).

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

101111431134224 is a wasteful number, since it uses less digits than its factorization.

101111431134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128968662183 (or 128968662170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 101111431134224 its reverse (422431134111101), we get a palindrome (523542565245325).

The spelling of 101111431134224 in words is "one hundred one trillion, one hundred eleven billion, four hundred thirty-one million, one hundred thirty-four thousand, two hundred twenty-four".