11202112022101 has 64 divisors (see below), whose sum is σ = 15720670457856. Its totient is φ = 7694305344000.

The previous prime is 11202112022099. The next prime is 11202112022113. The reversal of 11202112022101 is 10122021120211.

It is not a de Polignac number, because 11202112022101 - 2¹ = 11202112022099 is a prime.

It is a super-2 number, since 2×11202112022101² (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 (11202112022401) 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, 13432030 + ... + 14241616.

It is an arithmetic number, because the mean of its divisors is an integer number (245635475904).

Almost surely, 2^{11202112022101} is an apocalyptic number.

11202112022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11202112022101 is a deficient number, since it is larger than the sum of its proper divisors (4518558435755).

11202112022101 is a wasteful number, since it uses less digits than its factorization.

11202112022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810242.

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

Adding to 11202112022101 its reverse (10122021120211), we get a palindrome (21324133142312).

The spelling of 11202112022101 in words is "eleven trillion, two hundred two billion, one hundred twelve million, twenty-two thousand, one hundred one".