101100101001 has 8 divisors (see below), whose sum is σ = 134803113024. Its totient is φ = 67398578160.

The previous prime is 101100100987. The next prime is 101100101021. The reversal of 101100101001 is 100101001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101100101001 - 2¹⁸ = 101099838857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100101021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202870 + ... + 493311.

It is an arithmetic number, because the mean of its divisors is an integer number (16850389128).

Almost surely, 2^101100101001 is an apocalyptic number.

It is an amenable number.

101100101001 is a deficient number, since it is larger than the sum of its proper divisors (33703012023).

101100101001 is an equidigital number, since it uses as much as digits as its factorization.

101100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744591.

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

Adding to 101100101001 its reverse (100101001101), we get a palindrome (201201102102).

It can be divided in two parts, 101 and 100101001, that multiplied together give a palindrome (10110201101).

The spelling of 101100101001 in words is "one hundred one billion, one hundred million, one hundred one thousand, one".