1001121122111 has 8 divisors (see below), whose sum is σ = 1094092879824. Its totient is φ = 908476155520.

The previous prime is 1001121122101. The next prime is 1001121122137. The reversal of 1001121122111 is 1112211211001.

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-1001121122111 is a prime.

It is a super-2 number, since 2×1001121122111² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121122101) 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, 81691370 + ... + 81703623.

It is an arithmetic number, because the mean of its divisors is an integer number (136761609978).

Almost surely, 2^{1001121122111} is an apocalyptic number.

1001121122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001121122111 is a deficient number, since it is larger than the sum of its proper divisors (92971757713).

1001121122111 is a wasteful number, since it uses less digits than its factorization.

1001121122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163395561.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1001121122111 its reverse (1112211211001), we get a palindrome (2113332333112).

The spelling of 1001121122111 in words is "one trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred eleven".