101331123121001 has 4 divisors (see below), whose sum is σ = 101331143465604. Its totient is φ = 101331102776400.

The previous prime is 101331123120943. The next prime is 101331123121021. The reversal of 101331123121001 is 100121321133101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 94654919813776 + 6676203307225 = 9729076^2 + 2583835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101331123121001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331123121021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2889491 + ... + 14526231.

It is an arithmetic number, because the mean of its divisors is an integer number (25332785866401).

Almost surely, 2^{101331123121001} is an apocalyptic number.

It is an amenable number.

101331123121001 is a deficient number, since it is larger than the sum of its proper divisors (20344603).

101331123121001 is an equidigital number, since it uses as much as digits as its factorization.

101331123121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20344602.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101331123121001 its reverse (100121321133101), we get a palindrome (201452444254102).

The spelling of 101331123121001 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred twenty-one thousand, one".