121001121201104 has 80 divisors (see below), whose sum is σ = 247593447528960. Its totient is φ = 57127098096000.

The previous prime is 121001121201089. The next prime is 121001121201151. The reversal of 121001121201104 is 401102121100121.

It is a super-2 number, since 2×121001121201104² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1245190439 + ... + 1245287609.

It is an arithmetic number, because the mean of its divisors is an integer number (3094918094112).

Almost surely, 2^{121001121201104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121001121201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123796723764480).

121001121201104 is an abundant number, since it is smaller than the sum of its proper divisors (126592326327856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121001121201104 is a wasteful number, since it uses less digits than its factorization.

121001121201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110680 (or 110674 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121001121201104 its reverse (401102121100121), we get a palindrome (522103242301225).

The spelling of 121001121201104 in words is "one hundred twenty-one trillion, one billion, one hundred twenty-one million, two hundred one thousand, one hundred four".