121111133400101 has 8 divisors (see below), whose sum is σ = 138099572927064. Its totient is φ = 105218722229760.

The previous prime is 121111133400097. The next prime is 121111133400151. The reversal of 121111133400101 is 101004331111121.

It can be written as a sum of positive squares in 4 ways, for example, as 1976200539076 + 119134932861025 = 1405774^2 + 10914895^2 .

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 121111133400101 - 2² = 121111133400097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111133400151) 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, 274007088920 + ... + 274007089361.

It is an arithmetic number, because the mean of its divisors is an integer number (17262446615883).

Almost surely, 2^{121111133400101} is an apocalyptic number.

It is an amenable number.

121111133400101 is a deficient number, since it is larger than the sum of its proper divisors (16988439526963).

121111133400101 is a wasteful number, since it uses less digits than its factorization.

121111133400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548014178311.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 121111133400101 its reverse (101004331111121), we get a palindrome (222115464511222).

The spelling of 121111133400101 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred thirty-three million, four hundred thousand, one hundred one".