101001222112001 has 8 divisors (see below), whose sum is σ = 102659620108584. Its totient is φ = 99342909285120.

The previous prime is 101001222111929. The next prime is 101001222112103. The reversal of 101001222112001 is 100211222100101.

It can be written as a sum of positive squares in 4 ways, for example, as 10473152250625 + 90528069861376 = 3236225^2 + 9514624^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101001222112001 - 2¹⁰ = 101001222110977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001222117001) 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, 18899000 + ... + 23646873.

It is an arithmetic number, because the mean of its divisors is an integer number (12832452513573).

Almost surely, 2^{101001222112001} is an apocalyptic number.

It is an amenable number.

101001222112001 is a deficient number, since it is larger than the sum of its proper divisors (1658397996583).

101001222112001 is an equidigital number, since it uses as much as digits as its factorization.

101001222112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42584851.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101001222112001 its reverse (100211222100101), we get a palindrome (201212444212102).

The spelling of 101001222112001 in words is "one hundred one trillion, one billion, two hundred twenty-two million, one hundred twelve thousand, one".