100211012210112 has 28 divisors (see below), whose sum is σ = 265141636473096. Its totient is φ = 33403670736640.

The previous prime is 100211012210083. The next prime is 100211012210213. The reversal of 100211012210112 is 211012210112001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100211012210091 and 100211012210100.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 260966177439 + ... + 260966177822.

Almost surely, 2^{100211012210112} is an apocalyptic number.

100211012210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211012210112 is an abundant number, since it is smaller than the sum of its proper divisors (164930624262984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100211012210112 is an equidigital number, since it uses as much as digits as its factorization.

100211012210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521932355276 (or 521932355266 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100211012210112 its reverse (211012210112001), we get a palindrome (311223222322113).

The spelling of 100211012210112 in words is "one hundred trillion, two hundred eleven billion, twelve million, two hundred ten thousand, one hundred twelve".