101252444142144 has 112 divisors (see below), whose sum is σ = 271131964443648. Its totient is φ = 33343293301248.

The previous prime is 101252444142071. The next prime is 101252444142181. The reversal of 101252444142144 is 441241444252101.

101252444142144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 905220429 + ... + 905332275.

It is an arithmetic number, because the mean of its divisors is an integer number (2420821111104).

Almost surely, 2^{101252444142144} is an apocalyptic number.

It is an amenable number.

101252444142144 is an abundant number, since it is smaller than the sum of its proper divisors (169879520301504).

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

101252444142144 is a wasteful number, since it uses less digits than its factorization.

101252444142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168752 (or 168742 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

Adding to 101252444142144 its reverse (441241444252101), we get a palindrome (542493888394245).

The spelling of 101252444142144 in words is "one hundred one trillion, two hundred fifty-two billion, four hundred forty-four million, one hundred forty-two thousand, one hundred forty-four".