121205013101 has 12 divisors (see below), whose sum is σ = 128847771060. Its totient is φ = 113992327680.

The previous prime is 121205013091. The next prime is 121205013107. The reversal of 121205013101 is 101310502121.

It can be written as a sum of positive squares in 6 ways, for example, as 19124124100 + 102080889001 = 138290^2 + 319501^2 .

It is not a de Polignac number, because 121205013101 - 2³⁴ = 104025143917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121205013101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121205013107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247265 + ... + 550953.

It is an arithmetic number, because the mean of its divisors is an integer number (10737314255).

Almost surely, 2^121205013101 is an apocalyptic number.

It is an amenable number.

121205013101 is a deficient number, since it is larger than the sum of its proper divisors (7642757959).

121205013101 is a wasteful number, since it uses less digits than its factorization.

121205013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305104 (or 305087 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 121205013101 its reverse (101310502121), we get a palindrome (222515515222).

The spelling of 121205013101 in words is "one hundred twenty-one billion, two hundred five million, thirteen thousand, one hundred one".