101011100001 has 32 divisors (see below), whose sum is σ = 157413580800. Its totient is φ = 56425636800.

The previous prime is 101011099997. The next prime is 101011100017. The reversal of 101011100001 is 100001110101.

It is not a de Polignac number, because 101011100001 - 2² = 101011099997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011100401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133861 + ... + 468978.

It is an arithmetic number, because the mean of its divisors is an integer number (4919174400).

Almost surely, 2^101011100001 is an apocalyptic number.

It is an amenable number.

101011100001 is a deficient number, since it is larger than the sum of its proper divisors (56402480799).

101011100001 is a wasteful number, since it uses less digits than its factorization.

101011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603029.

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

Adding to 101011100001 its reverse (100001110101), we get a palindrome (201012210102).

The spelling of 101011100001 in words is "one hundred one billion, eleven million, one hundred thousand, one".