10002102311240 has 128 divisors (see below), whose sum is σ = 24764837771520. Its totient is φ = 3613272499200.

The previous prime is 10002102311239. The next prime is 10002102311281. The reversal of 10002102311240 is 4211320120001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3802502 + ... + 5870538.

It is an arithmetic number, because the mean of its divisors is an integer number (193475295090).

Almost surely, 2^{10002102311240} is an apocalyptic number.

10002102311240 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 10002102311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382418885760).

10002102311240 is an abundant number, since it is smaller than the sum of its proper divisors (14762735460280).

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

10002102311240 is a wasteful number, since it uses less digits than its factorization.

10002102311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068263 (or 2068259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10002102311240 its reverse (4211320120001), we get a palindrome (14213422431241).

The spelling of 10002102311240 in words is "ten trillion, two billion, one hundred two million, three hundred eleven thousand, two hundred forty".