101120343021101 has 8 divisors (see below), whose sum is σ = 101286243482424. Its totient is φ = 100954449066240.

The previous prime is 101120343021091. The next prime is 101120343021163.

101120343021101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2167885195876 + 98952457825225 = 1472374^2 + 9947485^2 .

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 101120343021101 - 2⁶ = 101120343021037 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 (101120343021301) 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, 29985371 + ... + 33186791.

It is an arithmetic number, because the mean of its divisors is an integer number (12660780435303).

Almost surely, 2^{101120343021101} is an apocalyptic number.

It is an amenable number.

101120343021101 is a deficient number, since it is larger than the sum of its proper divisors (165900461323).

101120343021101 is an equidigital number, since it uses as much as digits as its factorization.

101120343021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253231.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 101120343021101 in words is "one hundred one trillion, one hundred twenty billion, three hundred forty-three million, twenty-one thousand, one hundred one".