10002020002007 has 16 divisors (see below), whose sum is σ = 10947567943584. Its totient is φ = 9062527344000.

The previous prime is 10002020001977. The next prime is 10002020002031. The reversal of 10002020002007 is 70020002020001.

10002020002007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10002020002007 - 2⁶ = 10002020001943 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002020001982 and 10002020002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002020002057) 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, 20615957 + ... + 21095537.

It is an arithmetic number, because the mean of its divisors is an integer number (684222996474).

Almost surely, 2^{10002020002007} is an apocalyptic number.

10002020002007 is a deficient number, since it is larger than the sum of its proper divisors (945547941577).

10002020002007 is a wasteful number, since it uses less digits than its factorization.

10002020002007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485890.

The product of its (nonzero) digits is 56, while the sum is 14.

Adding to 10002020002007 its reverse (70020002020001), we get a palindrome (80022022022008).

The spelling of 10002020002007 in words is "ten trillion, two billion, twenty million, two thousand, seven".