11000112202101 has 64 divisors (see below), whose sum is σ = 17149955558400. Its totient is φ = 6197609088000.

The previous prime is 11000112202099. The next prime is 11000112202127. The reversal of 11000112202101 is 10120221100011.

It is not a de Polignac number, because 11000112202101 - 2¹ = 11000112202099 is a prime.

It is a super-2 number, since 2×11000112202101² (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 (11000112202501) 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 63 ways as a sum of consecutive naturals, for example, 23509290 + ... + 23972628.

It is an arithmetic number, because the mean of its divisors is an integer number (267968055600).

Almost surely, 2^{11000112202101} is an apocalyptic number.

11000112202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000112202101 is a deficient number, since it is larger than the sum of its proper divisors (6149843356299).

11000112202101 is a wasteful number, since it uses less digits than its factorization.

11000112202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463890.

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

Adding to 11000112202101 its reverse (10120221100011), we get a palindrome (21120333302112).

The spelling of 11000112202101 in words is "eleven trillion, one hundred twelve million, two hundred two thousand, one hundred one".