1000110122011 has 64 divisors (see below), whose sum is σ = 1354462986240. Its totient is φ = 713130168960.

The previous prime is 1000110121973. The next prime is 1000110122021. The reversal of 1000110122011 is 1102210110001.

It is not a de Polignac number, because 1000110122011 - 2¹⁹ = 1000109597723 is a prime.

It is a super-2 number, since 2×1000110122011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000110122021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101149110 + ... + 101158996.

It is an arithmetic number, because the mean of its divisors is an integer number (21163484160).

Almost surely, 2^{1000110122011} is an apocalyptic number.

1000110122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000110122011 is a deficient number, since it is larger than the sum of its proper divisors (354352864229).

1000110122011 is a wasteful number, since it uses less digits than its factorization.

1000110122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784.

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

Adding to 1000110122011 its reverse (1102210110001), we get a palindrome (2102320232012).

The spelling of 1000110122011 in words is "one trillion, one hundred ten million, one hundred twenty-two thousand, eleven".