100212011010012 has 192 divisors, whose sum is σ = 279916587417600. Its totient is φ = 27565310880000.

The previous prime is 100212011009959. The next prime is 100212011010061. The reversal of 100212011010012 is 210010110212001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100212011010012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1471689 + ... + 14233407.

It is an arithmetic number, because the mean of its divisors is an integer number (1457898892800).

Almost surely, 2^{100212011010012} is an apocalyptic number.

100212011010012 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 100212011010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139958293708800).

100212011010012 is an abundant number, since it is smaller than the sum of its proper divisors (179704576407588).

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

100212011010012 is a wasteful number, since it uses less digits than its factorization.

100212011010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12761888 (or 12761886 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100212011010012 its reverse (210010110212001), we get a palindrome (310222121222013).

The spelling of 100212011010012 in words is "one hundred trillion, two hundred twelve billion, eleven million, ten thousand, twelve".