100110212220213 has 24 divisors (see below), whose sum is σ = 160750448302080. Its totient is φ = 59618984942880.

The previous prime is 100110212220197. The next prime is 100110212220301. The reversal of 100110212220213 is 312022212011001.

100110212220213 is a `hidden beast` number, since 10 + 0 + 1 + 10 + 212 + 220 + 213 = 666.

It is not a de Polignac number, because 100110212220213 - 2⁴ = 100110212220197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110212200213) 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 23 ways as a sum of consecutive naturals, for example, 13800687333 + ... + 13800694586.

It is an arithmetic number, because the mean of its divisors is an integer number (6697935345920).

Almost surely, 2^{100110212220213} is an apocalyptic number.

100110212220213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100110212220213 is a deficient number, since it is larger than the sum of its proper divisors (60640236081867).

100110212220213 is a wasteful number, since it uses less digits than its factorization.

100110212220213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27601381969 (or 27601381966 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100110212220213 its reverse (312022212011001), we get a palindrome (412132424231214).

The spelling of 100110212220213 in words is "one hundred trillion, one hundred ten billion, two hundred twelve million, two hundred twenty thousand, two hundred thirteen".