10100011100001 has 64 divisors (see below), whose sum is σ = 14707274246400. Its totient is φ = 6143195520000.

The previous prime is 10100011099979. The next prime is 10100011100089. The reversal of 10100011100001 is 10000111000101.

It is not a de Polignac number, because 10100011100001 - 2⁹ = 10100011099489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100011100701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1020095151 + ... + 1020105051.

It is an arithmetic number, because the mean of its divisors is an integer number (229801160100).

Almost surely, 2^{10100011100001} is an apocalyptic number.

It is an amenable number.

10100011100001 is a deficient number, since it is larger than the sum of its proper divisors (4607263146399).

10100011100001 is a wasteful number, since it uses less digits than its factorization.

10100011100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14850.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100011100001 its reverse (10000111000101), we get a palindrome (20100122100102).

The spelling of 10100011100001 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, one".