10112202100011 has 32 divisors (see below), whose sum is σ = 14735592000000. Its totient is φ = 6117388865280.

The previous prime is 10112202100009. The next prime is 10112202100043. The reversal of 10112202100011 is 11000120221101.

It is not a de Polignac number, because 10112202100011 - 2¹ = 10112202100009 is a prime.

It is a super-2 number, since 2×10112202100011² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10112202100011.

It is not an unprimeable number, because it can be changed into a prime (10112202100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101734965 + ... + 101834313.

It is an arithmetic number, because the mean of its divisors is an integer number (460487250000).

Almost surely, 2^{10112202100011} is an apocalyptic number.

10112202100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10112202100011 is a deficient number, since it is larger than the sum of its proper divisors (4623389899989).

10112202100011 is a wasteful number, since it uses less digits than its factorization.

10112202100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104979.

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

Adding to 10112202100011 its reverse (11000120221101), we get a palindrome (21112322321112).

The spelling of 10112202100011 in words is "ten trillion, one hundred twelve billion, two hundred two million, one hundred thousand, eleven".