11002120102101 has 16 divisors (see below), whose sum is σ = 14724282513600. Its totient is φ = 7307353160448.

The previous prime is 11002120102087. The next prime is 11002120102187. The reversal of 11002120102101 is 10120102120011.

It is not a de Polignac number, because 11002120102101 - 2²³ = 11002111713493 is a prime.

It is a super-2 number, since 2×11002120102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002120102601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79896030 + ... + 80033616.

It is an arithmetic number, because the mean of its divisors is an integer number (920267657100).

Almost surely, 2^{11002120102101} is an apocalyptic number.

It is an amenable number.

11002120102101 is a deficient number, since it is larger than the sum of its proper divisors (3722162411499).

11002120102101 is a wasteful number, since it uses less digits than its factorization.

11002120102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236948.

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

Adding to 11002120102101 its reverse (10120102120011), we get a palindrome (21122222222112).

The spelling of 11002120102101 in words is "eleven trillion, two billion, one hundred twenty million, one hundred two thousand, one hundred one".