10001120002000 has 40 divisors (see below), whose sum is σ = 24182708169672. Its totient is φ = 4000448000000.

The previous prime is 10001120001953. The next prime is 10001120002039. The reversal of 10001120002000 is 20002110001.

It can be written as a sum of positive squares in 4 ways, for example, as 1117215176256 + 8883904825744 = 1056984^2 + 2980588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500278001 + ... + 2500282000.

Almost surely, 2^{10001120002000} is an apocalyptic number.

10001120002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001120002000 is an abundant number, since it is smaller than the sum of its proper divisors (14181588167672).

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

10001120002000 is an equidigital number, since it uses as much as digits as its factorization.

10001120002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000560024 (or 5000560008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10001120002000 its reverse (20002110001), we get a palindrome (10021122112001).

The spelling of 10001120002000 in words is "ten trillion, one billion, one hundred twenty million, two thousand".