10002340032101 has 24 divisors (see below), whose sum is σ = 10380867367104. Its totient is φ = 9637195236480.

The previous prime is 10002340032079. The next prime is 10002340032107. The reversal of 10002340032101 is 10123004320001.

It is not a de Polignac number, because 10002340032101 - 2¹⁸ = 10002339769957 is a prime.

It is a super-2 number, since 2×10002340032101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002340032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002340032107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290121241 + ... + 1290128993.

It is an arithmetic number, because the mean of its divisors is an integer number (432536140296).

Almost surely, 2^{10002340032101} is an apocalyptic number.

It is an amenable number.

10002340032101 is a deficient number, since it is larger than the sum of its proper divisors (378527335003).

10002340032101 is an equidigital number, since it uses as much as digits as its factorization.

10002340032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10829 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10002340032101 its reverse (10123004320001), we get a palindrome (20125344352102).

The spelling of 10002340032101 in words is "ten trillion, two billion, three hundred forty million, thirty-two thousand, one hundred one".