121111102100001 has 128 divisors (see below), whose sum is σ = 185418758891520. Its totient is φ = 69702197760000.

The previous prime is 121111102099993. The next prime is 121111102100017. The reversal of 121111102100001 is 100001201111121.

It is not a de Polignac number, because 121111102100001 - 2³ = 121111102099993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121111102100001.

It is not an unprimeable number, because it can be changed into a prime (121111102100101) 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 127 ways as a sum of consecutive naturals, for example, 27394501771 + ... + 27394506191.

It is an arithmetic number, because the mean of its divisors is an integer number (1448584053840).

Almost surely, 2^{121111102100001} is an apocalyptic number.

It is an amenable number.

121111102100001 is a deficient number, since it is larger than the sum of its proper divisors (64307656791519).

121111102100001 is a wasteful number, since it uses less digits than its factorization.

121111102100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121111102100001 its reverse (100001201111121), we get a palindrome (221112303211122).

The spelling of 121111102100001 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred two million, one hundred thousand, one".