100112210102011 has 16 divisors (see below), whose sum is σ = 100424869551360. Its totient is φ = 99800012390400.

The previous prime is 100112210101973. The next prime is 100112210102017. The reversal of 100112210102011 is 110201012211001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112210102011 is a prime.

It is a super-2 number, since 2×100112210102011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112210101982 and 100112210102000.

It is not an unprimeable number, because it can be changed into a prime (100112210102017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4613242461 + ... + 4613264161.

It is an arithmetic number, because the mean of its divisors is an integer number (6276554346960).

Almost surely, 2^{100112210102011} is an apocalyptic number.

100112210102011 is a deficient number, since it is larger than the sum of its proper divisors (312659449349).

100112210102011 is a wasteful number, since it uses less digits than its factorization.

100112210102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31686.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112210102011 its reverse (110201012211001), we get a palindrome (210313222313012).

The spelling of 100112210102011 in words is "one hundred trillion, one hundred twelve billion, two hundred ten million, one hundred two thousand, eleven".