101001111001121 has 8 divisors (see below), whose sum is σ = 101728472637120. Its totient is φ = 100275208467408.

The previous prime is 101001111001097. The next prime is 101001111001157. The reversal of 101001111001121 is 121100111100101.

It is a happy number.

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 101001111001121 - 2²⁶ = 101001043892257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001111000121) 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, 364636631 + ... + 364913516.

It is an arithmetic number, because the mean of its divisors is an integer number (12716059079640).

Almost surely, 2^{101001111001121} is an apocalyptic number.

It is an amenable number.

101001111001121 is a deficient number, since it is larger than the sum of its proper divisors (727361635999).

101001111001121 is an equidigital number, since it uses as much as digits as its factorization.

101001111001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729551143.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101001111001121 its reverse (121100111100101), we get a palindrome (222101222101222).

The spelling of 101001111001121 in words is "one hundred one trillion, one billion, one hundred eleven million, one thousand, one hundred twenty-one".