1001122101001 has 8 divisors (see below), whose sum is σ = 1156376330784. Its totient is φ = 856575059520.

The previous prime is 1001122100963. The next prime is 1001122101019. The reversal of 1001122101001 is 1001012211001.

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 1001122101001 - 2³¹ = 998974617353 is a prime.

It is a super-2 number, since 2×1001122101001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001122101601) 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, 2676796875 + ... + 2676797248.

It is an arithmetic number, because the mean of its divisors is an integer number (144547041348).

Almost surely, 2^{1001122101001} is an apocalyptic number.

1001122101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001122101001 is a deficient number, since it is larger than the sum of its proper divisors (155254229783).

1001122101001 is a wasteful number, since it uses less digits than its factorization.

1001122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353594151.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001122101001 its reverse (1001012211001), we get a palindrome (2002134312002).

The spelling of 1001122101001 in words is "one trillion, one billion, one hundred twenty-two million, one hundred one thousand, one".