100212201012 has 96 divisors (see below), whose sum is σ = 291868093440. Its totient is φ = 25998635520.

The previous prime is 100212201007. The next prime is 100212201139. The reversal of 100212201012 is 210102212001.

It is a super-3 number, since 3×100212201012³ (a number of 34 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 730588 + ... + 856844.

It is an arithmetic number, because the mean of its divisors is an integer number (3040292640).

Almost surely, 2^100212201012 is an apocalyptic number.

100212201012 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 100212201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145934046720).

100212201012 is an abundant number, since it is smaller than the sum of its proper divisors (191655892428).

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

100212201012 is a wasteful number, since it uses less digits than its factorization.

100212201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127141 (or 127139 counting only the distinct ones).

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

Adding to 100212201012 its reverse (210102212001), we get a palindrome (310314413013).

The spelling of 100212201012 in words is "one hundred billion, two hundred twelve million, two hundred one thousand, twelve".