101123133201 has 6 divisors (see below), whose sum is σ = 146066747970. Its totient is φ = 67415422128.

The previous prime is 101123133193. The next prime is 101123133277. The reversal of 101123133201 is 102331321101.

101123133201 is a `hidden beast` number, since 101 + 1 + 231 + 332 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55892052225 + 45231080976 = 236415^2 + 212676^2 .

It is not a de Polignac number, because 101123133201 - 2³ = 101123133193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101123123201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617951836 + ... + 5617951853.

It is an arithmetic number, because the mean of its divisors is an integer number (24344457995).

Almost surely, 2^101123133201 is an apocalyptic number.

It is an amenable number.

101123133201 is a deficient number, since it is larger than the sum of its proper divisors (44943614769).

101123133201 is a wasteful number, since it uses less digits than its factorization.

101123133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235903695 (or 11235903692 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101123133201 its reverse (102331321101), we get a palindrome (203454454302).

The spelling of 101123133201 in words is "one hundred one billion, one hundred twenty-three million, one hundred thirty-three thousand, two hundred one".