10011011101122 has 64 divisors (see below), whose sum is σ = 20817663229440. Its totient is φ = 3207312025344.

The previous prime is 10011011101103. The next prime is 10011011101127. The reversal of 10011011101122 is 22110111011001.

It is a junction number, because it is equal to n+sod(n) for n = 10011011101098 and 10011011101107.

It is not an unprimeable number, because it can be changed into a prime (10011011101127) 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, 2817213 + ... + 5287599.

It is an arithmetic number, because the mean of its divisors is an integer number (325275987960).

Almost surely, 2^{10011011101122} is an apocalyptic number.

10011011101122 is an abundant number, since it is smaller than the sum of its proper divisors (10806652128318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011011101122 is a wasteful number, since it uses less digits than its factorization.

10011011101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470687.

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

Adding to 10011011101122 its reverse (22110111011001), we get a palindrome (32121122112123).

The spelling of 10011011101122 in words is "ten trillion, eleven billion, eleven million, one hundred one thousand, one hundred twenty-two".