101042320121 has 8 divisors (see below), whose sum is σ = 101221667784. Its totient is φ = 100863060480.

The previous prime is 101042320109. The next prime is 101042320187. The reversal of 101042320121 is 121023240101.

It can be written as a sum of positive squares in 4 ways, for example, as 14206017721 + 86836302400 = 119189^2 + 294680^2 .

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 101042320121 - 2²² = 101038125817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101042320121.

It is not an unprimeable number, because it can be changed into a prime (101042350121) 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, 2535611 + ... + 2575151.

It is an arithmetic number, because the mean of its divisors is an integer number (12652708473).

Almost surely, 2^101042320121 is an apocalyptic number.

It is an amenable number.

101042320121 is a deficient number, since it is larger than the sum of its proper divisors (179347663).

101042320121 is an equidigital number, since it uses as much as digits as its factorization.

101042320121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44011.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101042320121 its reverse (121023240101), we get a palindrome (222065560222).

The spelling of 101042320121 in words is "one hundred one billion, forty-two million, three hundred twenty thousand, one hundred twenty-one".