100211017200012 has 84 divisors (see below), whose sum is σ = 262938814794936. Its totient is φ = 33403014912960.

The previous prime is 100211017200011. The next prime is 100211017200031. The reversal of 100211017200012 is 210002710112001.

It is a super-2 number, since 2×100211017200012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100211017200011) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 161034648 + ... + 161655744.

It is an arithmetic number, because the mean of its divisors is an integer number (3130223985654).

Almost surely, 2^{100211017200012} is an apocalyptic number.

100211017200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211017200012 is an abundant number, since it is smaller than the sum of its proper divisors (162727797594924).

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

100211017200012 is an equidigital number, since it uses as much as digits as its factorization.

100211017200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676450 (or 676433 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 100211017200012 its reverse (210002710112001), we get a palindrome (310213727312013).

The spelling of 100211017200012 in words is "one hundred trillion, two hundred eleven billion, seventeen million, two hundred thousand, twelve".