11200102112221 has 24 divisors (see below), whose sum is σ = 13107802413600. Its totient is φ = 9488093856000.

The previous prime is 11200102112179. The next prime is 11200102112263. The reversal of 11200102112221 is 12221120100211.

It is an interprime number because it is at equal distance from previous prime (11200102112179) and next prime (11200102112263).

It is not a de Polignac number, because 11200102112221 - 2¹⁷ = 11200101981149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11200102112195 and 11200102112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200102112921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17120271 + ... + 17762428.

It is an arithmetic number, because the mean of its divisors is an integer number (546158433900).

Almost surely, 2^{11200102112221} is an apocalyptic number.

11200102112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11200102112221 is a deficient number, since it is larger than the sum of its proper divisors (1907700301379).

11200102112221 is a wasteful number, since it uses less digits than its factorization.

11200102112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34882845 (or 34882828 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11200102112221 its reverse (12221120100211), we get a palindrome (23421222212432).

The spelling of 11200102112221 in words is "eleven trillion, two hundred billion, one hundred two million, one hundred twelve thousand, two hundred twenty-one".