10102021008 has 80 divisors (see below), whose sum is σ = 27236113920. Its totient is φ = 3222403072.

The previous prime is 10102021001. The next prime is 10102021009. The reversal of 10102021008 is 80012020101.

It is not an unprimeable number, because it can be changed into a prime (10102021001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125185 + ... + 189407.

It is an arithmetic number, because the mean of its divisors is an integer number (340451424).

Almost surely, 2^10102021008 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 10102021008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618056960).

10102021008 is an abundant number, since it is smaller than the sum of its proper divisors (17134092912).

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

10102021008 is a wasteful number, since it uses less digits than its factorization.

10102021008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64376 (or 64370 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102021008 its reverse (80012020101), we get a palindrome (90114041109).

The spelling of 10102021008 in words is "ten billion, one hundred two million, twenty-one thousand, eight".