10100101100001 has 16 divisors (see below), whose sum is σ = 14692672581888. Its totient is φ = 6120599878800.

The previous prime is 10100101099973. The next prime is 10100101100003. The reversal of 10100101100001 is 10000110100101.

10100101100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100101100001 - 2⁵ = 10100101099969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100101100003) 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, 16533331 + ... + 17133336.

It is an arithmetic number, because the mean of its divisors is an integer number (918292036368).

Almost surely, 2^{10100101100001} is an apocalyptic number.

10100101100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100101100001 is a deficient number, since it is larger than the sum of its proper divisors (4592571481887).

10100101100001 is a wasteful number, since it uses less digits than its factorization.

10100101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33675772.

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

Adding to 10100101100001 its reverse (10000110100101), we get a palindrome (20100211200102).

It can be divided in two parts, 10100101 and 100001, that multiplied together give a palindrome (1010020200101).

The spelling of 10100101100001 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, one".