121210111101001 has 8 divisors (see below), whose sum is σ = 138212434377864. Its totient is φ = 105304711906560.

The previous prime is 121210111100987. The next prime is 121210111101019. The reversal of 121210111101001 is 100101111012121.

It can be written as a sum of positive squares in 4 ways, for example, as 4314572894025 + 116895538206976 = 2077155^2 + 10811824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121210111101001 - 2¹¹ = 121210111098953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121210111101071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274231020370 + ... + 274231020811.

It is an arithmetic number, because the mean of its divisors is an integer number (17276554297233).

Almost surely, 2^{121210111101001} is an apocalyptic number.

It is an amenable number.

121210111101001 is a deficient number, since it is larger than the sum of its proper divisors (17002323276863).

121210111101001 is a wasteful number, since it uses less digits than its factorization.

121210111101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548462041211.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 121210111101001 its reverse (100101111012121), we get a palindrome (221311222113122).

The spelling of 121210111101001 in words is "one hundred twenty-one trillion, two hundred ten billion, one hundred eleven million, one hundred one thousand, one".