121111100110101 has 144 divisors (see below), whose sum is σ = 178324871917248. Its totient is φ = 73079251914240.

The previous prime is 121111100110087. The next prime is 121111100110129. The reversal of 121111100110101 is 101011001111121.

It is not a de Polignac number, because 121111100110101 - 2²⁵ = 121111066555669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111100110201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25299997630 + ... + 25300002416.

It is an arithmetic number, because the mean of its divisors is an integer number (1238367166092).

Almost surely, 2^{121111100110101} is an apocalyptic number.

It is an amenable number.

121111100110101 is a deficient number, since it is larger than the sum of its proper divisors (57213771807147).

121111100110101 is a wasteful number, since it uses less digits than its factorization.

121111100110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 121111100110101 its reverse (101011001111121), we get a palindrome (222122101221222).

The spelling of 121111100110101 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one hundred one".