101101002000221 has 8 divisors (see below), whose sum is σ = 103177985007744. Its totient is φ = 99042158582640.

The previous prime is 101101002000217. The next prime is 101101002000241. The reversal of 101101002000221 is 122000200101101.

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 101101002000221 - 2² = 101101002000217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101002000241) 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, 4534886225 + ... + 4534908518.

It is an arithmetic number, because the mean of its divisors is an integer number (12897248125968).

Almost surely, 2^{101101002000221} is an apocalyptic number.

It is an amenable number.

101101002000221 is a deficient number, since it is larger than the sum of its proper divisors (2076983007523).

101101002000221 is an equidigital number, since it uses as much as digits as its factorization.

101101002000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069794971.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101101002000221 its reverse (122000200101101), we get a palindrome (223101202101322).

The spelling of 101101002000221 in words is "one hundred one trillion, one hundred one billion, two million, two hundred twenty-one", and thus it is an aban number.