101120256224 has 96 divisors (see below), whose sum is σ = 215690319936. Its totient is φ = 46389657600.

The previous prime is 101120256199. The next prime is 101120256229. The reversal of 101120256224 is 422652021101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 101120256193 and 101120256202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120256229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77724374 + ... + 77725674.

It is an arithmetic number, because the mean of its divisors is an integer number (2246774166).

Almost surely, 2^101120256224 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 101120256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107845159968).

101120256224 is an abundant number, since it is smaller than the sum of its proper divisors (114570063712).

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

101120256224 is a wasteful number, since it uses less digits than its factorization.

101120256224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 101120256224 its reverse (422652021101), we get a palindrome (523772277325).

The spelling of 101120256224 in words is "one hundred one billion, one hundred twenty million, two hundred fifty-six thousand, two hundred twenty-four".