121122210210221 has 16 divisors (see below), whose sum is σ = 139104906370560. Its totient is φ = 104302878479280.

The previous prime is 121122210210059. The next prime is 121122210210263. The reversal of 121122210210221 is 122012012221121.

It is not a de Polignac number, because 121122210210221 - 2²² = 121122206015917 is a prime.

It is a super-2 number, since 2×121122210210221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121122210210193 and 121122210210202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122210200221) 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, 34140911 + ... + 37521276.

It is an arithmetic number, because the mean of its divisors is an integer number (8694056648160).

Almost surely, 2^{121122210210221} is an apocalyptic number.

121122210210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122210210221 is a deficient number, since it is larger than the sum of its proper divisors (17982696160339).

121122210210221 is a wasteful number, since it uses less digits than its factorization.

121122210210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71670304.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121122210210221 its reverse (122012012221121), we get a palindrome (243134222431342).

The spelling of 121122210210221 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred ten million, two hundred ten thousand, two hundred twenty-one".