101331123101201 has 16 divisors (see below), whose sum is σ = 117280048343040. Its totient is φ = 85750594347600.

The previous prime is 101331123101147. The next prime is 101331123101233. The reversal of 101331123101201 is 102101321133101.

It is not a de Polignac number, because 101331123101201 - 2²⁶ = 101331055992337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331123101501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3528170 + ... + 14666636.

It is an arithmetic number, because the mean of its divisors is an integer number (7330003021440).

Almost surely, 2^{101331123101201} is an apocalyptic number.

It is an amenable number.

101331123101201 is a deficient number, since it is larger than the sum of its proper divisors (15948925241839).

101331123101201 is a wasteful number, since it uses less digits than its factorization.

101331123101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11155004.

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

Adding to 101331123101201 its reverse (102101321133101), we get a palindrome (203432444234302).

The spelling of 101331123101201 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred one thousand, two hundred one".