101010100101001 has 8 divisors (see below), whose sum is σ = 124320123201344. Its totient is φ = 79920079200720.

The previous prime is 101010100100989. The next prime is 101010100101011. The reversal of 101010100101001 is 100101001010101.

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-101010100101001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (101010100101011) 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, 555000549915 + ... + 555000550096.

It is an arithmetic number, because the mean of its divisors is an integer number (15540015400168).

Almost surely, 2^{101010100101001} is an apocalyptic number.

It is an amenable number.

101010100101001 is a deficient number, since it is larger than the sum of its proper divisors (23310023100343).

101010100101001 is a wasteful number, since it uses less digits than its factorization.

101010100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110001100031.

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

Adding to 101010100101001 its reverse (100101001010101), we get a palindrome (201111101111102).

It can be divided in two parts, 101010100 and 101001, that added together give a palindrome (101111101).

The spelling of 101010100101001 in words is "one hundred one trillion, ten billion, one hundred million, one hundred one thousand, one".