100101001101001 has 8 divisors (see below), whose sum is σ = 100900447764480. Its totient is φ = 99301730215968.

The previous prime is 100101001100977. The next prime is 100101001101133. The reversal of 100101001101001 is 100101100101001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100101001101001 - 2²³ = 100100992712393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101071101001) 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, 42801001 + ... + 45079126.

It is an arithmetic number, because the mean of its divisors is an integer number (12612555970560).

Almost surely, 2^{100101001101001} is an apocalyptic number.

It is an amenable number.

100101001101001 is a deficient number, since it is larger than the sum of its proper divisors (799446663479).

100101001101001 is an equidigital number, since it uses as much as digits as its factorization.

100101001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87889223.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101001101001 its reverse (100101100101001), we get a palindrome (200202101202002).

The spelling of 100101001101001 in words is "one hundred trillion, one hundred one billion, one million, one hundred one thousand, one".