101111001111121 has 4 divisors (see below), whose sum is σ = 107058707058852. Its totient is φ = 95163295163392.

The previous prime is 101111001111101. The next prime is 101111001111143. The reversal of 101111001111121 is 121111100111101.

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 65862379038096 + 35248622073025 = 8115564^2 + 5937055^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111001111121 - 2⁷ = 101111001110993 is a prime.

It is a super-2 number, since 2×101111001111121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111001111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2973852973840 + ... + 2973852973873.

It is an arithmetic number, because the mean of its divisors is an integer number (26764676764713).

Almost surely, 2^{101111001111121} is an apocalyptic number.

It is an amenable number.

101111001111121 is a deficient number, since it is larger than the sum of its proper divisors (5947705947731).

101111001111121 is an equidigital number, since it uses as much as digits as its factorization.

101111001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947705947730.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 101111001111121 its reverse (121111100111101), we get a palindrome (222222101222222).

The spelling of 101111001111121 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred eleven thousand, one hundred twenty-one".