11002122101201 has 16 divisors (see below), whose sum is σ = 13717082416128. Its totient is φ = 8572987803600.

The previous prime is 11002122101177. The next prime is 11002122101209. The reversal of 11002122101201 is 10210122120011.

It is not a de Polignac number, because 11002122101201 - 2⁶ = 11002122101137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11002122101209) 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, 6717506 + ... + 8193236.

It is an arithmetic number, because the mean of its divisors is an integer number (857317651008).

Almost surely, 2^{11002122101201} is an apocalyptic number.

11002122101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11002122101201 is a deficient number, since it is larger than the sum of its proper divisors (2714960314927).

11002122101201 is a wasteful number, since it uses less digits than its factorization.

11002122101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572572.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11002122101201 its reverse (10210122120011), we get a palindrome (21212244221212).

It can be divided in two parts, 110021 and 22101201, that added together give a palindrome (22211222).

The spelling of 11002122101201 in words is "eleven trillion, two billion, one hundred twenty-two million, one hundred one thousand, two hundred one".