121202202121 has 48 divisors (see below), whose sum is σ = 165934536768. Its totient is φ = 87022857600.

The previous prime is 121202202089. The next prime is 121202202161.

It is a happy number.

121202202121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121202202121 - 2⁵ = 121202202089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121202202095 and 121202202104.

It is not an unprimeable number, because it can be changed into a prime (121202202161) 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 47 ways as a sum of consecutive naturals, for example, 3985851 + ... + 4016143.

It is an arithmetic number, because the mean of its divisors is an integer number (3456969516).

Almost surely, 2^121202202121 is an apocalyptic number.

121202202121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121202202121 is a deficient number, since it is larger than the sum of its proper divisors (44732334647).

121202202121 is a wasteful number, since it uses less digits than its factorization.

121202202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30902 (or 30895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 121202 and 202121, that added together give a palindrome (323323).

The spelling of 121202202121 in words is "one hundred twenty-one billion, two hundred two million, two hundred two thousand, one hundred twenty-one".