10002340032100 has 36 divisors (see below), whose sum is σ = 23374699247284. Its totient is φ = 3693171703680.

The previous prime is 10002340032079. The next prime is 10002340032107. The reversal of 10002340032100 is 123004320001.

It is a happy number.

10002340032100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3311002387456 + 6691337644644 = 1819616^2 + 2586762^2 .

It is a super-2 number, since 2×10002340032100² (a number of 27 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3847052559 + ... + 3847055158.

Almost surely, 2^{10002340032100} is an apocalyptic number.

10002340032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002340032100 is an abundant number, since it is smaller than the sum of its proper divisors (13372359215184).

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

10002340032100 is a wasteful number, since it uses less digits than its factorization.

10002340032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694107744 (or 7694107737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10002340032100 its reverse (123004320001), we get a palindrome (10125344352101).

The spelling of 10002340032100 in words is "ten trillion, two billion, three hundred forty million, thirty-two thousand, one hundred".