101253101530144 has 96 divisors (see below), whose sum is σ = 205688795558400. Its totient is φ = 49037385446400.

The previous prime is 101253101530129. The next prime is 101253101530151. The reversal of 101253101530144 is 441035101352101.

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 15 ways as a sum of consecutive naturals, for example, 350601997 + ... + 350890675.

It is an arithmetic number, because the mean of its divisors is an integer number (2142591620400).

Almost surely, 2^{101253101530144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101253101530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102844397779200).

101253101530144 is an abundant number, since it is smaller than the sum of its proper divisors (104435694028256).

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

101253101530144 is a wasteful number, since it uses less digits than its factorization.

101253101530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291146 (or 291138 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 101253101530144 its reverse (441035101352101), we get a palindrome (542288202882245).

The spelling of 101253101530144 in words is "one hundred one trillion, two hundred fifty-three billion, one hundred one million, five hundred thirty thousand, one hundred forty-four".