101210120121301 has 8 divisors (see below), whose sum is σ = 101663226788184. Its totient is φ = 100757672520960.

The previous prime is 101210120121287. The next prime is 101210120121323. The reversal of 101210120121301 is 103121021012101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26105815078225 + 75104305043076 = 5109385^2 + 8666274^2 .

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 101210120121301 - 2⁵ = 101210120121269 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 (101210120121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164458816 + ... + 165073081.

It is an arithmetic number, because the mean of its divisors is an integer number (12707903348523).

Almost surely, 2^{101210120121301} is an apocalyptic number.

It is an amenable number.

101210120121301 is a deficient number, since it is larger than the sum of its proper divisors (453106666883).

101210120121301 is a wasteful number, since it uses less digits than its factorization.

101210120121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329533271.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101210120121301 its reverse (103121021012101), we get a palindrome (204331141133402).

The spelling of 101210120121301 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty million, one hundred twenty-one thousand, three hundred one".