1001122101111 has 16 divisors (see below), whose sum is σ = 1470595206528. Its totient is φ = 600733332000.

The previous prime is 1001122101097. The next prime is 1001122101121. The reversal of 1001122101111 is 1111012211001.

It is not a de Polignac number, because 1001122101111 - 2¹⁰ = 1001122100087 is a prime.

It is a super-2 number, since 2×1001122101111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150180001 + ... + 150186666.

It is an arithmetic number, because the mean of its divisors is an integer number (91912200408).

Almost surely, 2^{1001122101111} is an apocalyptic number.

1001122101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001122101111 is a deficient number, since it is larger than the sum of its proper divisors (469473105417).

1001122101111 is a wasteful number, since it uses less digits than its factorization.

1001122101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300366782.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001122101111 its reverse (1111012211001), we get a palindrome (2112134312112).

It can be divided in two parts, 10011 and 22101111, that added together give a palindrome (22111122).

The spelling of 1001122101111 in words is "one trillion, one billion, one hundred twenty-two million, one hundred one thousand, one hundred eleven".