100112211210011 has 32 divisors (see below), whose sum is σ = 134443464035328. Its totient is φ = 71994282272640.

The previous prime is 100112211209981. The next prime is 100112211210091. The reversal of 100112211210011 is 110012112211001.

It is not a de Polignac number, because 100112211210011 - 2¹⁸ = 100112210947867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100112211210091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5095700 + ... + 15039633.

It is an arithmetic number, because the mean of its divisors is an integer number (4201358251104).

Almost surely, 2^{100112211210011} is an apocalyptic number.

100112211210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112211210011 is a deficient number, since it is larger than the sum of its proper divisors (34331252825317).

100112211210011 is a wasteful number, since it uses less digits than its factorization.

100112211210011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20140331.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100112211210011 its reverse (110012112211001), we get a palindrome (210124323421012).

The spelling of 100112211210011 in words is "one hundred trillion, one hundred twelve billion, two hundred eleven million, two hundred ten thousand, eleven".