121111021121101 has 8 divisors (see below), whose sum is σ = 133429243792608. Its totient is φ = 109010820090000.

The previous prime is 121111021121081. The next prime is 121111021121113. The reversal of 121111021121101 is 101121120111121.

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 121111021121101 - 2²⁵ = 121110987566669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111021121161) 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, 54505408935 + ... + 54505411156.

It is an arithmetic number, because the mean of its divisors is an integer number (16678655474076).

Almost surely, 2^{121111021121101} is an apocalyptic number.

121111021121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121111021121101 is a deficient number, since it is larger than the sum of its proper divisors (12318222671507).

121111021121101 is a wasteful number, since it uses less digits than its factorization.

121111021121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109010820203.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 121111021121101 its reverse (101121120111121), we get a palindrome (222232141232222).

The spelling of 121111021121101 in words is "one hundred twenty-one trillion, one hundred eleven billion, twenty-one million, one hundred twenty-one thousand, one hundred one".