10102124240 has 80 divisors (see below), whose sum is σ = 25650608256. Its totient is φ = 3677452800.

The previous prime is 10102124233. The next prime is 10102124243. The reversal of 10102124240 is 4242120101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102124243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5435 + ... + 142245.

Almost surely, 2^10102124240 is an apocalyptic number.

10102124240 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 10102124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825304128).

10102124240 is an abundant number, since it is smaller than the sum of its proper divisors (15548484016).

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

10102124240 is a wasteful number, since it uses less digits than its factorization.

10102124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136908 (or 136902 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10102124240 its reverse (4242120101), we get a palindrome (14344244341).

The spelling of 10102124240 in words is "ten billion, one hundred two million, one hundred twenty-four thousand, two hundred forty".