121010211001 has 16 divisors (see below), whose sum is σ = 125736685200. Its totient is φ = 116378496000.

The previous prime is 121010210963. The next prime is 121010211031. The reversal of 121010211001 is 100112010121.

It can be written as a sum of positive squares in 8 ways, for example, as 97535376 + 120912675625 = 9876^2 + 347725^2 .

It is a cyclic number.

It is not a de Polignac number, because 121010211001 - 2²³ = 121001822393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121010211031) 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 15 ways as a sum of consecutive naturals, for example, 884485 + ... + 1012093.

It is an arithmetic number, because the mean of its divisors is an integer number (7858542825).

Almost surely, 2^121010211001 is an apocalyptic number.

It is an amenable number.

121010211001 is a deficient number, since it is larger than the sum of its proper divisors (4726474199).

121010211001 is a wasteful number, since it uses less digits than its factorization.

121010211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127980.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121010211001 its reverse (100112010121), we get a palindrome (221122221122).

The spelling of 121010211001 in words is "one hundred twenty-one billion, ten million, two hundred eleven thousand, one".