11102120021201 has 144 divisors (see below), whose sum is σ = 13918134048000. Its totient is φ = 8756799891840.

The previous prime is 11102120021177. The next prime is 11102120021207. The reversal of 11102120021201 is 10212002120111.

11102120021201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11102120021201 - 2⁶ = 11102120021137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11102120021207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12924469910 + ... + 12924470768.

Almost surely, 2^{11102120021201} is an apocalyptic number.

11102120021201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11102120021201 is a deficient number, since it is larger than the sum of its proper divisors (2816014026799).

11102120021201 is a wasteful number, since it uses less digits than its factorization.

11102120021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1080 counting only the distinct ones).

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

Adding to 11102120021201 its reverse (10212002120111), we get a palindrome (21314122141312).

It can be divided in two parts, 11 and 102120021201, that multiplied together give a palindrome (1123320233211).

The spelling of 11102120021201 in words is "eleven trillion, one hundred two billion, one hundred twenty million, twenty-one thousand, two hundred one".