1122101002011 has 32 divisors (see below), whose sum is σ = 1648939703040. Its totient is φ = 673069392000.

The previous prime is 1122101001991. The next prime is 1122101002039. The reversal of 1122101002011 is 1102001012211.

It is not a de Polignac number, because 1122101002011 - 2⁵ = 1122101001979 is a prime.

It is a super-2 number, since 2×1122101002011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122101002811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8799141 + ... + 8925753.

It is an arithmetic number, because the mean of its divisors is an integer number (51529365720).

Almost surely, 2^{1122101002011} is an apocalyptic number.

1122101002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122101002011 is a deficient number, since it is larger than the sum of its proper divisors (526838701029).

1122101002011 is a wasteful number, since it uses less digits than its factorization.

1122101002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129387.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1122101002011 its reverse (1102001012211), we get a palindrome (2224102014222).

The spelling of 1122101002011 in words is "one trillion, one hundred twenty-two billion, one hundred one million, two thousand, eleven".