221100102101121 has 32 divisors (see below), whose sum is σ = 298624285094400. Its totient is φ = 145497952664064.

The previous prime is 221100102101117. The next prime is 221100102101149. The reversal of 221100102101121 is 121101201001122.

It is a happy number.

It is not a de Polignac number, because 221100102101121 - 2² = 221100102101117 is a prime.

It is a super-2 number, since 2×221100102101121² (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 221100102101121.

It is not an unprimeable number, because it can be changed into a prime (221100102101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789454481 + ... + 1789578033.

It is an arithmetic number, because the mean of its divisors is an integer number (9332008909200).

Almost surely, 2^{221100102101121} is an apocalyptic number.

It is an amenable number.

221100102101121 is a deficient number, since it is larger than the sum of its proper divisors (77524182993279).

221100102101121 is a wasteful number, since it uses less digits than its factorization.

221100102101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143645.

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

Adding to 221100102101121 its reverse (121101201001122), we get a palindrome (342201303102243).

The spelling of 221100102101121 in words is "two hundred twenty-one trillion, one hundred billion, one hundred two million, one hundred one thousand, one hundred twenty-one".