101133122001 has 8 divisors (see below), whose sum is σ = 134996877600. Its totient is φ = 67345723872.

The previous prime is 101133121993. The next prime is 101133122011. The reversal of 101133122001 is 100221331101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101133122001 - 2³ = 101133121993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101133122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19086276 + ... + 19091573.

It is an arithmetic number, because the mean of its divisors is an integer number (16874609700).

Almost surely, 2^101133122001 is an apocalyptic number.

It is an amenable number.

101133122001 is a deficient number, since it is larger than the sum of its proper divisors (33863755599).

101133122001 is an equidigital number, since it uses as much as digits as its factorization.

101133122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38178735.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101133122001 its reverse (100221331101), we get a palindrome (201354453102).

The spelling of 101133122001 in words is "one hundred one billion, one hundred thirty-three million, one hundred twenty-two thousand, one".