101000101010001 has 16 divisors (see below), whose sum is σ = 142588825665984. Its totient is φ = 63372413389824.

The previous prime is 101000101009957. The next prime is 101000101010023. The reversal of 101000101010001 is 100010101000101.

It is not a de Polignac number, because 101000101010001 - 2¹⁰ = 101000101008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000101010101) 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, 14228841 + ... + 20111193.

It is an arithmetic number, because the mean of its divisors is an integer number (8911801604124).

Almost surely, 2^{101000101010001} is an apocalyptic number.

It is an amenable number.

101000101010001 is a deficient number, since it is larger than the sum of its proper divisors (41588724655983).

101000101010001 is a wasteful number, since it uses less digits than its factorization.

101000101010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219040.

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

Adding to 101000101010001 its reverse (100010101000101), we get a palindrome (201010202010102).

The spelling of 101000101010001 in words is "one hundred one trillion, one hundred one million, ten thousand, one".