10010010000001 has 32 divisors (see below), whose sum is σ = 12113278202880. Its totient is φ = 8164586232000.

The previous prime is 10010009999981. The next prime is 10010010000017. The reversal of 10010010000001 is 10000001001001.

It is a de Polignac number, because none of the positive numbers 2^k-10010010000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010010003001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9823315 + ... + 10794328.

It is an arithmetic number, because the mean of its divisors is an integer number (378539943840).

Almost surely, 2^{10010010000001} is an apocalyptic number.

10010010000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010010000001 is a deficient number, since it is larger than the sum of its proper divisors (2103268202879).

10010010000001 is a wasteful number, since it uses less digits than its factorization.

10010010000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20617797.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10010010000001 its reverse (10000001001001), we get a palindrome (20010011001002).

It can be divided in two parts, 100100 and 10000001, that added together give a palindrome (10100101).

The spelling of 10010010000001 in words is "ten trillion, ten billion, ten million, one", and thus it is an aban number and an uban number.