101021122001001 has 8 divisors (see below), whose sum is σ = 135400037865984. Its totient is φ = 66994810401680.

The previous prime is 101021122000999. The next prime is 101021122001003. The reversal of 101021122001001 is 100100221120101.

It is an interprime number because it is at equal distance from previous prime (101021122000999) and next prime (101021122001003).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101021122001001 - 2¹ = 101021122000999 is a prime.

It is a super-2 number, since 2×101021122001001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101021122001003) 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 7 ways as a sum of consecutive naturals, for example, 88151065746 + ... + 88151066891.

It is an arithmetic number, because the mean of its divisors is an integer number (16925004733248).

Almost surely, 2^{101021122001001} is an apocalyptic number.

It is an amenable number.

101021122001001 is a deficient number, since it is larger than the sum of its proper divisors (34378915864983).

101021122001001 is a wasteful number, since it uses less digits than its factorization.

101021122001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176302132831.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101021122001001 its reverse (100100221120101), we get a palindrome (201121343121102).

The spelling of 101021122001001 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, one thousand, one".