101100010001001 has 16 divisors (see below), whose sum is σ = 149125750990848. Its totient is φ = 60409737088400.

The previous prime is 101100010000937. The next prime is 101100010001009. The reversal of 101100010001001 is 100100010001101.

It is a cyclic number.

It is not a de Polignac number, because 101100010001001 - 2⁶ = 101100010000937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100010001009) 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, 21574903761 + ... + 21574908446.

It is an arithmetic number, because the mean of its divisors is an integer number (9320359436928).

Almost surely, 2^{101100010001001} is an apocalyptic number.

101100010001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100010001001 is a deficient number, since it is larger than the sum of its proper divisors (48025740989847).

101100010001001 is a wasteful number, since it uses less digits than its factorization.

101100010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43149812292.

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

Adding to 101100010001001 its reverse (100100010001101), we get a palindrome (201200020002102).

The spelling of 101100010001001 in words is "one hundred one trillion, one hundred billion, ten million, one thousand, one".