101200323121001 has 16 divisors (see below), whose sum is σ = 109284567201600. Its totient is φ = 93158933934528.

The previous prime is 101200323120983. The next prime is 101200323121003. The reversal of 101200323121001 is 100121323002101.

It is a cyclic number.

It is not a de Polignac number, because 101200323121001 - 2¹⁰ = 101200323119977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200323121003) 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 15 ways as a sum of consecutive naturals, for example, 43752590 + ... + 46007496.

It is an arithmetic number, because the mean of its divisors is an integer number (6830285450100).

Almost surely, 2^{101200323121001} is an apocalyptic number.

It is an amenable number.

101200323121001 is a deficient number, since it is larger than the sum of its proper divisors (8084244080599).

101200323121001 is a wasteful number, since it uses less digits than its factorization.

101200323121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264408.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101200323121001 its reverse (100121323002101), we get a palindrome (201321646123102).

The spelling of 101200323121001 in words is "one hundred one trillion, two hundred billion, three hundred twenty-three million, one hundred twenty-one thousand, one".