101100221201121 has 32 divisors (see below), whose sum is σ = 135185927184000. Its totient is φ = 67207608399360.

The previous prime is 101100221201081. The next prime is 101100221201143. The reversal of 101100221201121 is 121102122001101.

It is a happy number.

It is not a de Polignac number, because 101100221201121 - 2²⁷ = 101100086983393 is a prime.

It is a super-2 number, since 2×101100221201121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101100221201121.

It is not an unprimeable number, because it can be changed into a prime (101100221201621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8754018055 + ... + 8754029603.

It is an arithmetic number, because the mean of its divisors is an integer number (4224560224500).

Almost surely, 2^{101100221201121} is an apocalyptic number.

It is an amenable number.

101100221201121 is a deficient number, since it is larger than the sum of its proper divisors (34085705982879).

101100221201121 is a wasteful number, since it uses less digits than its factorization.

101100221201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16849.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101100221201121 its reverse (121102122001101), we get a palindrome (222202343202222).

The spelling of 101100221201121 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty-one".