101142123133224 has 64 divisors (see below), whose sum is σ = 263853617639040. Its totient is φ = 32247650856960.

The previous prime is 101142123133193. The next prime is 101142123133273. The reversal of 101142123133224 is 422331321241101.

It is a junction number, because it is equal to n+sod(n) for n = 101142123133191 and 101142123133200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30677904 + ... + 33814464.

It is an arithmetic number, because the mean of its divisors is an integer number (4122712775610).

Almost surely, 2^{101142123133224} is an apocalyptic number.

It is an amenable number.

101142123133224 is an abundant number, since it is smaller than the sum of its proper divisors (162711494505816).

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

101142123133224 is a wasteful number, since it uses less digits than its factorization.

101142123133224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195010 (or 3195006 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 101142123133224 its reverse (422331321241101), we get a palindrome (523473444374325).

The spelling of 101142123133224 in words is "one hundred one trillion, one hundred forty-two billion, one hundred twenty-three million, one hundred thirty-three thousand, two hundred twenty-four".