101120002321 has 6 divisors (see below), whose sum is σ = 109496807430. Its totient is φ = 93341540448.

The previous prime is 101120002273. The next prime is 101120002351. The reversal of 101120002321 is 123200021101.

It can be written as a sum of positive squares in 3 ways, for example, as 2468102400 + 98651899921 = 49680^2 + 314089^2 .

It is not a de Polignac number, because 101120002321 - 2¹⁷ = 101119871249 is a prime.

It is a super-3 number, since 3×101120002321³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101120002351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 299171436 + ... + 299171773.

It is an arithmetic number, because the mean of its divisors is an integer number (18249467905).

Almost surely, 2^101120002321 is an apocalyptic number.

It is an amenable number.

101120002321 is a deficient number, since it is larger than the sum of its proper divisors (8376805109).

101120002321 is an equidigital number, since it uses as much as digits as its factorization.

101120002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598343235 (or 598343222 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101120002321 its reverse (123200021101), we get a palindrome (224320023422).

The spelling of 101120002321 in words is "one hundred one billion, one hundred twenty million, two thousand, three hundred twenty-one".