101221100200013 has 8 divisors (see below), whose sum is σ = 102453982964928. Its totient is φ = 99988535326624.

The previous prime is 101221100199959. The next prime is 101221100200079. The reversal of 101221100200013 is 310002001122101.

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 101221100200013 - 2²⁰ = 101221099151437 is a prime.

It is a super-2 number, since 2×101221100200013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221100200313) 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, 78832145 + ... + 80105862.

It is an arithmetic number, because the mean of its divisors is an integer number (12806747870616).

Almost surely, 2^{101221100200013} is an apocalyptic number.

It is an amenable number.

101221100200013 is a deficient number, since it is larger than the sum of its proper divisors (1232882764915).

101221100200013 is an equidigital number, since it uses as much as digits as its factorization.

101221100200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158945763.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101221100200013 its reverse (310002001122101), we get a palindrome (411223101322114).

The spelling of 101221100200013 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred million, two hundred thousand, thirteen".