11101122121001 has 16 divisors (see below), whose sum is σ = 12309714592128. Its totient is φ = 9925786291200.

The previous prime is 11101122120967. The next prime is 11101122121009. The reversal of 11101122121001 is 10012122110111.

It is a cyclic number.

It is not a de Polignac number, because 11101122121001 - 2³⁴ = 11083942251817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101122121009) 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, 9036041 + ... + 10190793.

It is an arithmetic number, because the mean of its divisors is an integer number (769357162008).

Almost surely, 2^{11101122121001} is an apocalyptic number.

11101122121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101122121001 is a deficient number, since it is larger than the sum of its proper divisors (1208592471127).

11101122121001 is a wasteful number, since it uses less digits than its factorization.

11101122121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169152.

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

Adding to 11101122121001 its reverse (10012122110111), we get a palindrome (21113244231112).

The spelling of 11101122121001 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, one".