100111022212212 has 144 divisors (see below), whose sum is σ = 282356385921792. Its totient is φ = 29647090851840.

The previous prime is 100111022212211. The next prime is 100111022212261. The reversal of 100111022212212 is 212212220111001.

100111022212212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111022212211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8529708 + ... + 16522044.

It is an arithmetic number, because the mean of its divisors is an integer number (1960808235568).

Almost surely, 2^{100111022212212} is an apocalyptic number.

100111022212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111022212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141178192960896).

100111022212212 is an abundant number, since it is smaller than the sum of its proper divisors (182245363709580).

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

100111022212212 is a wasteful number, since it uses less digits than its factorization.

100111022212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7993078 (or 7993073 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100111022212212 its reverse (212212220111001), we get a palindrome (312323242323213).

The spelling of 100111022212212 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, two hundred twelve thousand, two hundred twelve".