101122131220301 has 8 divisors (see below), whose sum is σ = 101425011068160. Its totient is φ = 100819369165392.

The previous prime is 101122131220273. The next prime is 101122131220403. The reversal of 101122131220301 is 103022131221101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122131220301 is a prime.

It is a super-3 number, since 3×101122131220301³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122131220601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27728570 + ... + 31162763.

It is an arithmetic number, because the mean of its divisors is an integer number (12678126383520).

Almost surely, 2^{101122131220301} is an apocalyptic number.

It is an amenable number.

101122131220301 is a deficient number, since it is larger than the sum of its proper divisors (302879847859).

101122131220301 is an equidigital number, since it uses as much as digits as its factorization.

101122131220301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58896475.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101122131220301 its reverse (103022131221101), we get a palindrome (204144262441402).

The spelling of 101122131220301 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred thirty-one million, two hundred twenty thousand, three hundred one".