101221110211001 has 8 divisors (see below), whose sum is σ = 110423497790208. Its totient is φ = 92018800710000.

The previous prime is 101221110210959. The next prime is 101221110211079. The reversal of 101221110211001 is 100112011122101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101221110211001 is a prime.

It is a super-2 number, since 2×101221110211001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221110211901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16792310 + ... + 22009631.

It is an arithmetic number, because the mean of its divisors is an integer number (13802937223776).

Almost surely, 2^{101221110211001} is an apocalyptic number.

101221110211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221110211001 is a deficient number, since it is larger than the sum of its proper divisors (9202387579207).

101221110211001 is a wasteful number, since it uses less digits than its factorization.

101221110211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39039103.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101221110211001 its reverse (100112011122101), we get a palindrome (201333121333102).

The spelling of 101221110211001 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred ten million, two hundred eleven thousand, one".