101001001001001 has 16 divisors (see below), whose sum is σ = 136040621992320. Its totient is φ = 66648075379200.

The previous prime is 101001001000997. The next prime is 101001001001011. The reversal of 101001001001001 is 100100100100101.

It is not a de Polignac number, because 101001001001001 - 2² = 101001001000997 is a prime.

101001001001001 is a modest number, since divided by 1001001 gives 101001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101001001001011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47079016 + ... + 49177593.

It is an arithmetic number, because the mean of its divisors is an integer number (8502538874520).

Almost surely, 2^{101001001001001} is an apocalyptic number.

It is an amenable number.

101001001001001 is a deficient number, since it is larger than the sum of its proper divisors (35039620991319).

101001001001001 is a wasteful number, since it uses less digits than its factorization.

101001001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96260176.

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

Adding to 101001001001001 its reverse (100100100100101), we get a palindrome (201101101101102).

It can be divided in two parts, 10100100100100 and 1, that added together give a palindrome (10100100100101).

The spelling of 101001001001001 in words is "one hundred one trillion, one billion, one million, one thousand, one".