10102010240 has 128 divisors (see below), whose sum is σ = 27636940800. Its totient is φ = 3458930688.

The previous prime is 10102010239. The next prime is 10102010311. The reversal of 10102010240 is 4201020101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10102010240² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6445937 + ... + 6447503.

It is an arithmetic number, because the mean of its divisors is an integer number (215913600).

Almost surely, 2^10102010240 is an apocalyptic number.

10102010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818470400).

10102010240 is an abundant number, since it is smaller than the sum of its proper divisors (17534930560).

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

10102010240 is a wasteful number, since it uses less digits than its factorization.

10102010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10102010240 its reverse (4201020101), we get a palindrome (14303030341).

The spelling of 10102010240 in words is "ten billion, one hundred two million, ten thousand, two hundred forty".