101101000100001 has 32 divisors (see below), whose sum is σ = 153273526149120. Its totient is φ = 58721077353600.

The previous prime is 101101000099987. The next prime is 101101000100027. The reversal of 101101000100001 is 100001000101101.

It is not a de Polignac number, because 101101000100001 - 2¹¹ = 101101000097953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101000100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479641996 + ... + 479852733.

It is an arithmetic number, because the mean of its divisors is an integer number (4789797692160).

Almost surely, 2^{101101000100001} is an apocalyptic number.

101101000100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101000100001 is a deficient number, since it is larger than the sum of its proper divisors (52172526049119).

101101000100001 is a wasteful number, since it uses less digits than its factorization.

101101000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959494877.

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

Adding to 101101000100001 its reverse (100001000101101), we get a palindrome (201102000201102).

The spelling of 101101000100001 in words is "one hundred one trillion, one hundred one billion, one hundred thousand, one".