101212220000100 has 216 divisors, whose sum is σ = 321896795099040. Its totient is φ = 24535224524800.

The previous prime is 101212220000057. The next prime is 101212220000123. The reversal of 101212220000100 is 1000022212101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1110480331 + ... + 1110571469.

Almost surely, 2^{101212220000100} is an apocalyptic number.

101212220000100 is a gapful number since it is divisible by the number (10) 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 101212220000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160948397549520).

101212220000100 is an abundant number, since it is smaller than the sum of its proper divisors (220684575098940).

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

101212220000100 is a wasteful number, since it uses less digits than its factorization.

101212220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121771 (or 121753 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101212220000100 its reverse (1000022212101), we get a palindrome (102212242212201).

The spelling of 101212220000100 in words is "one hundred one trillion, two hundred twelve billion, two hundred twenty million, one hundred", and thus it is an aban number.