101001212012221 has 12 divisors (see below), whose sum is σ = 103160183314644. Its totient is φ = 98877590240000.

The previous prime is 101001212012201. The next prime is 101001212012263. The reversal of 101001212012221 is 122210212100101.

It can be written as a sum of positive squares in 6 ways, for example, as 7386105272121 + 93615106740100 = 2717739^2 + 9675490^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101001212012221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001212012195 and 101001212012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001212012201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62324080 + ... + 63924121.

It is an arithmetic number, because the mean of its divisors is an integer number (8596681942887).

Almost surely, 2^{101001212012221} is an apocalyptic number.

It is an amenable number.

101001212012221 is a deficient number, since it is larger than the sum of its proper divisors (2158971302423).

101001212012221 is an equidigital number, since it uses as much as digits as its factorization.

101001212012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126248480 (or 126248391 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101001212012221 its reverse (122210212100101), we get a palindrome (223211424112322).

The spelling of 101001212012221 in words is "one hundred one trillion, one billion, two hundred twelve million, twelve thousand, two hundred twenty-one".