101403270144 has 616 divisors, whose sum is σ = 339257039472. Its totient is φ = 30019092480.

The previous prime is 101403270139. The next prime is 101403270149. The reversal of 101403270144 is 441072304101.

It is an interprime number because it is at equal distance from previous prime (101403270139) and next prime (101403270149).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101403270149) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 435207052 + ... + 435207284.

Almost surely, 2^101403270144 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 101403270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169628519736).

101403270144 is an abundant number, since it is smaller than the sum of its proper divisors (237853769328).

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

101403270144 is an equidigital number, since it uses as much as digits as its factorization.

101403270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 101403270144 its reverse (441072304101), we get a palindrome (542475574245).

The spelling of 101403270144 in words is "one hundred one billion, four hundred three million, two hundred seventy thousand, one hundred forty-four".