121111000101001 has 16 divisors (see below), whose sum is σ = 127684711047168. Its totient is φ = 114704242218000.

The previous prime is 121111000100983. The next prime is 121111000101017. The reversal of 121111000101001 is 100101000111121.

It is a cyclic number.

It is not a de Polignac number, because 121111000101001 - 2¹⁷ = 121110999969929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121111000101071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24617926 + ... + 29124976.

It is an arithmetic number, because the mean of its divisors is an integer number (7980294440448).

Almost surely, 2^{121111000101001} is an apocalyptic number.

It is an amenable number.

121111000101001 is a deficient number, since it is larger than the sum of its proper divisors (6573710946167).

121111000101001 is a wasteful number, since it uses less digits than its factorization.

121111000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525572.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 121111000101001 its reverse (100101000111121), we get a palindrome (221212000212122).

The spelling of 121111000101001 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred one thousand, one".