100110101121212 has 144 divisors (see below), whose sum is σ = 222488043890112. Its totient is φ = 39062756275200.

The previous prime is 100110101121209. The next prime is 100110101121293. The reversal of 100110101121212 is 212121101011001.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 66942968 + ... + 68422080.

It is an arithmetic number, because the mean of its divisors is an integer number (1545055860348).

Almost surely, 2^{100110101121212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110101121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111244021945056).

100110101121212 is an abundant number, since it is smaller than the sum of its proper divisors (122377942768900).

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

100110101121212 is a wasteful number, since it uses less digits than its factorization.

100110101121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479508 (or 1479499 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100110101121212 its reverse (212121101011001), we get a palindrome (312231202132213).

The spelling of 100110101121212 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred twenty-one thousand, two hundred twelve".