101121001111121 has 4 divisors (see below), whose sum is σ = 101121152533044. Its totient is φ = 101120849689200.

The previous prime is 101121001111027. The next prime is 101121001111129. The reversal of 101121001111121 is 121111100121101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 57591949612096 + 43529051499025 = 7588936^2 + 6597655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121001111121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101121001111096 and 101121001111105.

It is not an unprimeable number, because it can be changed into a prime (101121001111129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74704790 + ... + 76046351.

It is an arithmetic number, because the mean of its divisors is an integer number (25280288133261).

Almost surely, 2^{101121001111121} is an apocalyptic number.

It is an amenable number.

101121001111121 is a deficient number, since it is larger than the sum of its proper divisors (151421923).

101121001111121 is an equidigital number, since it uses as much as digits as its factorization.

101121001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151421922.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101121001111121 its reverse (121111100121101), we get a palindrome (222232101232222).

The spelling of 101121001111121 in words is "one hundred one trillion, one hundred twenty-one billion, one million, one hundred eleven thousand, one hundred twenty-one".