101101002211001 has 8 divisors (see below), whose sum is σ = 109232653858944. Its totient is φ = 93020015059920.

The previous prime is 101101002210917. The next prime is 101101002211007. The reversal of 101101002211001 is 100112200101101.

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

It is not a de Polignac number, because 101101002211001 - 2¹⁴ = 101101002194617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101002211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12666120065 + ... + 12666128046.

It is an arithmetic number, because the mean of its divisors is an integer number (13654081732368).

Almost surely, 2^{101101002211001} is an apocalyptic number.

It is an amenable number.

101101002211001 is a deficient number, since it is larger than the sum of its proper divisors (8131651647943).

101101002211001 is a wasteful number, since it uses less digits than its factorization.

101101002211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25332248431.

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

Adding to 101101002211001 its reverse (100112200101101), we get a palindrome (201213202312102).

The spelling of 101101002211001 in words is "one hundred one trillion, one hundred one billion, two million, two hundred eleven thousand, one".