121001121100121 has 16 divisors (see below), whose sum is σ = 124563337606800. Its totient is φ = 117489460408320.

The previous prime is 121001121100099. The next prime is 121001121100129.

121001121100121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 10747677073225 + 110253444026896 = 3278365^2 + 10500164^2 .

It is a cyclic number.

It is not a de Polignac number, because 121001121100121 - 2¹⁴ = 121001121083737 is a prime.

It is a super-2 number, since 2×121001121100121² (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 = 121001121100096 and 121001121100105.

It is not an unprimeable number, because it can be changed into a prime (121001121100129) 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, 11324096 + ... + 19241553.

It is an arithmetic number, because the mean of its divisors is an integer number (7785208600425).

Almost surely, 2^{121001121100121} is an apocalyptic number.

It is an amenable number.

121001121100121 is a deficient number, since it is larger than the sum of its proper divisors (3562216506679).

121001121100121 is a wasteful number, since it uses less digits than its factorization.

121001121100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30566476.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 121001121100121 in words is "one hundred twenty-one trillion, one billion, one hundred twenty-one million, one hundred thousand, one hundred twenty-one".