10100001102001 has 16 divisors (see below), whose sum is σ = 10469124610560. Its totient is φ = 9732270562560.

The previous prime is 10100001101963. The next prime is 10100001102047. The reversal of 10100001102001 is 10020110000101.

It is not a de Polignac number, because 10100001102001 - 2¹⁷ = 10100000970929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100001102071) 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, 268148896 + ... + 268186558.

It is an arithmetic number, because the mean of its divisors is an integer number (654320288160).

Almost surely, 2^{10100001102001} is an apocalyptic number.

It is an amenable number.

10100001102001 is a deficient number, since it is larger than the sum of its proper divisors (369123508559).

10100001102001 is a wasteful number, since it uses less digits than its factorization.

10100001102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55896.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100001102001 its reverse (10020110000101), we get a palindrome (20120111102102).

The spelling of 10100001102001 in words is "ten trillion, one hundred billion, one million, one hundred two thousand, one".