102011011210224 has 120 divisors (see below), whose sum is σ = 290507119858800. Its totient is φ = 33407294469120.

The previous prime is 102011011210223. The next prime is 102011011210231. The reversal of 102011011210224 is 422012110110201.

102011011210224 is a `hidden beast` number, since 10 + 201 + 10 + 11 + 210 + 224 = 666.

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 = 102011011210197 and 102011011210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011011210223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785692 + ... + 14305220.

It is an arithmetic number, because the mean of its divisors is an integer number (2420892665490).

Almost surely, 2^{102011011210224} 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 102011011210224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145253559929400).

102011011210224 is an abundant number, since it is smaller than the sum of its proper divisors (188496108648576).

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

102011011210224 is a wasteful number, since it uses less digits than its factorization.

102011011210224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13520463 (or 13520454 counting only the distinct ones).

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

Adding to 102011011210224 its reverse (422012110110201), we get a palindrome (524023121320425).

The spelling of 102011011210224 in words is "one hundred two trillion, eleven billion, eleven million, two hundred ten thousand, two hundred twenty-four".