11102200102201 has 12 divisors (see below), whose sum is σ = 12025237051308. Its totient is φ = 10245347671104.

The previous prime is 11102200102153. The next prime is 11102200102241. The reversal of 11102200102201 is 10220100220111.

It can be written as a sum of positive squares in 6 ways, for example, as 4170437887225 + 6931762214976 = 2042165^2 + 2632824^2 .

It is not a de Polignac number, because 11102200102201 - 2¹¹ = 11102200100153 is a prime.

It is a super-3 number, since 3×11102200102201³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (11102200102241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8480670 + ... + 9701863.

It is an arithmetic number, because the mean of its divisors is an integer number (1002103087609).

Almost surely, 2^{11102200102201} is an apocalyptic number.

It is an amenable number.

11102200102201 is a deficient number, since it is larger than the sum of its proper divisors (923036949107).

11102200102201 is a wasteful number, since it uses less digits than its factorization.

11102200102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18186172 (or 18186159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11102200102201 its reverse (10220100220111), we get a palindrome (21322300322312).

The spelling of 11102200102201 in words is "eleven trillion, one hundred two billion, two hundred million, one hundred two thousand, two hundred one".