101200111100221 has 16 divisors (see below), whose sum is σ = 116519731977600. Its totient is φ = 86096431427328.

The previous prime is 101200111100203. The next prime is 101200111100227. The reversal of 101200111100221 is 122001111002101.

It is a happy number.

It is not a de Polignac number, because 101200111100221 - 2²³ = 101200102711613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200111100227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9837976 + ... + 17296993.

It is an arithmetic number, because the mean of its divisors is an integer number (7282483248600).

Almost surely, 2^{101200111100221} is an apocalyptic number.

It is an amenable number.

101200111100221 is a deficient number, since it is larger than the sum of its proper divisors (15319620877379).

101200111100221 is a wasteful number, since it uses less digits than its factorization.

101200111100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27138948.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101200111100221 its reverse (122001111002101), we get a palindrome (223201222102322).

The spelling of 101200111100221 in words is "one hundred one trillion, two hundred billion, one hundred eleven million, one hundred thousand, two hundred twenty-one".