102101101001 has 8 divisors (see below), whose sum is σ = 105025194624. Its totient is φ = 99217339920.

The previous prime is 102101100991. The next prime is 102101101013. The reversal of 102101101001 is 100101101201.

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 a de Polignac number, because none of the positive numbers 2^k-102101101001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102101101001.

It is not an unprimeable number, because it can be changed into a prime (102101101301) 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, 10078001 + ... + 10088126.

It is an arithmetic number, because the mean of its divisors is an integer number (13128149328).

Almost surely, 2^102101101001 is an apocalyptic number.

It is an amenable number.

102101101001 is a deficient number, since it is larger than the sum of its proper divisors (2924093623).

102101101001 is an equidigital number, since it uses as much as digits as its factorization.

102101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20166271.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102101101001 its reverse (100101101201), we get a palindrome (202202202202).

The spelling of 102101101001 in words is "one hundred two billion, one hundred one million, one hundred one thousand, one".