101020111102224 has 240 divisors, whose sum is σ = 289955087847360. Its totient is φ = 32822129894400.

The previous prime is 101020111102223. The next prime is 101020111102237. The reversal of 101020111102224 is 422201111020101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101020111102197 and 101020111102206.

It is not an unprimeable number, because it can be changed into a prime (101020111102223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624373722 + ... + 1624435910.

It is an arithmetic number, because the mean of its divisors is an integer number (1208146199364).

Almost surely, 2^{101020111102224} 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 101020111102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144977543923680).

101020111102224 is an abundant number, since it is smaller than the sum of its proper divisors (188934976745136).

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

101020111102224 is a wasteful number, since it uses less digits than its factorization.

101020111102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64038 (or 64029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101020111102224 its reverse (422201111020101), we get a palindrome (523221222122325).

The spelling of 101020111102224 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred two thousand, two hundred twenty-four".