10120100002001 has 16 divisors (see below), whose sum is σ = 11125239840000. Its totient is φ = 9129159421200.

The previous prime is 10120100001937. The next prime is 10120100002013. The reversal of 10120100002001 is 10020000102101.

It is a cyclic number.

It is not a de Polignac number, because 10120100002001 - 2⁶ = 10120100001937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10120100002001.

It is not an unprimeable number, because it can be changed into a prime (10120100062001) 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, 18958250 + ... + 19484748.

It is an arithmetic number, because the mean of its divisors is an integer number (695327490000).

Almost surely, 2^{10120100002001} is an apocalyptic number.

10120100002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120100002001 is a deficient number, since it is larger than the sum of its proper divisors (1005139837999).

10120100002001 is a wasteful number, since it uses less digits than its factorization.

10120100002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539980.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120100002001 its reverse (10020000102101), we get a palindrome (20140100104102).

The spelling of 10120100002001 in words is "ten trillion, one hundred twenty billion, one hundred million, two thousand, one".