101200010112221 has 8 divisors (see below), whose sum is σ = 101565772068600. Its totient is φ = 100834288011520.

The previous prime is 101200010112199. The next prime is 101200010112269. The reversal of 101200010112221 is 122211010002101.

It can be written as a sum of positive squares in 4 ways, for example, as 81794134968121 + 19405875144100 = 9044011^2 + 4405210^2 .

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 101200010112221 - 2¹⁰ = 101200010111197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101200010112196 and 101200010112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200010112121) 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, 4871726 + ... + 15037743.

It is an arithmetic number, because the mean of its divisors is an integer number (12695721508575).

Almost surely, 2^{101200010112221} is an apocalyptic number.

It is an amenable number.

101200010112221 is a deficient number, since it is larger than the sum of its proper divisors (365761956379).

101200010112221 is a wasteful number, since it uses less digits than its factorization.

101200010112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19927839.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101200010112221 its reverse (122211010002101), we get a palindrome (223411020114322).

The spelling of 101200010112221 in words is "one hundred one trillion, two hundred billion, ten million, one hundred twelve thousand, two hundred twenty-one".