10100001000001 has 32 divisors (see below), whose sum is σ = 11488559256576. Its totient is φ = 8795861760000.

The previous prime is 10100000999989. The next prime is 10100001000013. The reversal of 10100001000001 is 10000010000101.

10100001000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100000999989) and next prime (10100001000013).

It is a cyclic number.

It is not a de Polignac number, because 10100001000001 - 2⁵ = 10100000999969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100001000091) 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, 185713125 + ... + 185767501.

It is an arithmetic number, because the mean of its divisors is an integer number (359017476768).

Almost surely, 2^{10100001000001} is an apocalyptic number.

10100001000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100001000001 is a deficient number, since it is larger than the sum of its proper divisors (1388558256575).

10100001000001 is a wasteful number, since it uses less digits than its factorization.

10100001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59913.

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

Adding to 10100001000001 its reverse (10000010000101), we get a palindrome (20100011000102).

The spelling of 10100001000001 in words is "ten trillion, one hundred billion, one million, one", and thus it is an aban number.