10102102248 has 384 divisors, whose sum is σ = 32175360000. Its totient is φ = 2626670592.

The previous prime is 10102102247. The next prime is 10102102249. The reversal of 10102102248 is 84220120101.

It is an interprime number because it is at equal distance from previous prime (10102102247) and next prime (10102102249).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10102102247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104145336 + ... + 104145432.

It is an arithmetic number, because the mean of its divisors is an integer number (83790000).

Almost surely, 2^10102102248 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 10102102248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680000).

10102102248 is an abundant number, since it is smaller than the sum of its proper divisors (22073257752).

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

10102102248 is a wasteful number, since it uses less digits than its factorization.

10102102248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10102102248 its reverse (84220120101), we get a palindrome (94322222349).

The spelling of 10102102248 in words is "ten billion, one hundred two million, one hundred two thousand, two hundred forty-eight".