10122120233101 has 8 divisors (see below), whose sum is σ = 10138782983544. Its totient is φ = 10105458316800.

The previous prime is 10122120233077. The next prime is 10122120233111. The reversal of 10122120233101 is 10133202122101.

It can be written as a sum of positive squares in 4 ways, for example, as 147728766025 + 9974391467076 = 384355^2 + 3158226^2 .

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 10122120233101 - 2¹⁵ = 10122120200333 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 (10122120233111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26994501 + ... + 27366901.

It is an arithmetic number, because the mean of its divisors is an integer number (1267347872943).

Almost surely, 2^{10122120233101} is an apocalyptic number.

It is an amenable number.

10122120233101 is a deficient number, since it is larger than the sum of its proper divisors (16662750443).

10122120233101 is an equidigital number, since it uses as much as digits as its factorization.

10122120233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417071.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10122120233101 its reverse (10133202122101), we get a palindrome (20255322355202).

The spelling of 10122120233101 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, two hundred thirty-three thousand, one hundred one".