10100101101001 has 4 divisors (see below), whose sum is σ = 10152433231252. Its totient is φ = 10047768970752.

The previous prime is 10100101100993. The next prime is 10100101101053. The reversal of 10100101101001 is 10010110100101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1222680851001 + 8877420250000 = 1105749^2 + 2979500^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100101101001 - 2³ = 10100101100993 is a prime.

It is a super-2 number, since 2×10100101101001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100101101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26166064836 + ... + 26166065221.

It is an arithmetic number, because the mean of its divisors is an integer number (2538108307813).

Almost surely, 2^{10100101101001} is an apocalyptic number.

It is an amenable number.

10100101101001 is a deficient number, since it is larger than the sum of its proper divisors (52332130251).

10100101101001 is an equidigital number, since it uses as much as digits as its factorization.

10100101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52332130250.

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

Adding to 10100101101001 its reverse (10010110100101), we get a palindrome (20110211201102).

It can be divided in two parts, 10100 and 101101001, that added together give a palindrome (101111101).

The spelling of 10100101101001 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one thousand, one".