121222101100113 has 48 divisors (see below), whose sum is σ = 189298466819280. Its totient is φ = 74309647104000.

The previous prime is 121222101100097. The next prime is 121222101100183. The reversal of 121222101100113 is 311001101222121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39989788767504 + 81232312332609 = 6323748^2 + 9012897^2 .

It is not a de Polignac number, because 121222101100113 - 2⁴ = 121222101100097 is a prime.

It is a super-2 number, since 2×121222101100113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121222101100183) 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 47 ways as a sum of consecutive naturals, for example, 31738093 + ... + 35351813.

It is an arithmetic number, because the mean of its divisors is an integer number (3943718058735).

Almost surely, 2^{121222101100113} is an apocalyptic number.

121222101100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121222101100113 is a deficient number, since it is larger than the sum of its proper divisors (68076365719167).

121222101100113 is a wasteful number, since it uses less digits than its factorization.

121222101100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614850 (or 3614847 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121222101100113 its reverse (311001101222121), we get a palindrome (432223202322234).

The spelling of 121222101100113 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred one million, one hundred thousand, one hundred thirteen".