101110221001001 has 16 divisors (see below), whose sum is σ = 104255151779520. Its totient is φ = 98017424066880.

The previous prime is 101110221000947. The next prime is 101110221001007. The reversal of 101110221001001 is 100100122011101.

It is a de Polignac number, because none of the positive numbers 2^k-101110221001001 is a prime.

It is a super-3 number, since 3×101110221001001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101110221001007) 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, 16433330 + ... + 21731883.

It is an arithmetic number, because the mean of its divisors is an integer number (6515946986220).

Almost surely, 2^{101110221001001} is an apocalyptic number.

It is an amenable number.

101110221001001 is a deficient number, since it is larger than the sum of its proper divisors (3144930778519).

101110221001001 is an equidigital number, since it uses as much as digits as its factorization.

101110221001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38165896.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101110221001001 its reverse (100100122011101), we get a palindrome (201210343012102).

The spelling of 101110221001001 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, one thousand, one".