101122133201 has 4 divisors (see below), whose sum is σ = 105518747712. Its totient is φ = 96725518692.

The previous prime is 101122133171. The next prime is 101122133221. The reversal of 101122133201 is 102331221101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101122133201 - 2³⁴ = 83942264017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101122133201.

It is not an unprimeable number, because it can be changed into a prime (101122133221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2198307221 + ... + 2198307266.

It is an arithmetic number, because the mean of its divisors is an integer number (26379686928).

Almost surely, 2^101122133201 is an apocalyptic number.

It is an amenable number.

101122133201 is a deficient number, since it is larger than the sum of its proper divisors (4396614511).

101122133201 is an equidigital number, since it uses as much as digits as its factorization.

101122133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396614510.

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

Adding to 101122133201 its reverse (102331221101), we get a palindrome (203453354302).

The spelling of 101122133201 in words is "one hundred one billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred one".