22011200101121 has 32 divisors (see below), whose sum is σ = 28008352108800. Its totient is φ = 17148053328000.

The previous prime is 22011200101097. The next prime is 22011200101133. The reversal of 22011200101121 is 12110100211022.

It is not a de Polignac number, because 22011200101121 - 2³⁸ = 21736322194177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22011200101096 and 22011200101105.

It is not an unprimeable number, because it can be changed into a prime (22011200101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17802821 + ... + 18999021.

It is an arithmetic number, because the mean of its divisors is an integer number (875261003400).

Almost surely, 2^{22011200101121} is an apocalyptic number.

It is an amenable number.

22011200101121 is a deficient number, since it is larger than the sum of its proper divisors (5997152007679).

22011200101121 is a wasteful number, since it uses less digits than its factorization.

22011200101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201110 (or 1201096 counting only the distinct ones).

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

Adding to 22011200101121 its reverse (12110100211022), we get a palindrome (34121300312143).

The spelling of 22011200101121 in words is "twenty-two trillion, eleven billion, two hundred million, one hundred one thousand, one hundred twenty-one".