212112001020100 has 72 divisors (see below), whose sum is σ = 470199298318848. Its totient is φ = 83017863801600.

The previous prime is 212112001020061. The next prime is 212112001020103. The reversal of 212112001020100 is 1020100211212.

It is a super-3 number, since 3×212112001020100³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212112001020103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12065640 + ... + 23870560.

It is an arithmetic number, because the mean of its divisors is an integer number (6530545809984).

Almost surely, 2^{212112001020100} is an apocalyptic number.

212112001020100 is a gapful number since it is divisible by the number (20) 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 212112001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235099649159424).

212112001020100 is an abundant number, since it is smaller than the sum of its proper divisors (258087297298748).

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

212112001020100 is a wasteful number, since it uses less digits than its factorization.

212112001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11808805 (or 11808798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212112001020100 its reverse (1020100211212), we get a palindrome (213132101231312).

The spelling of 212112001020100 in words is "two hundred twelve trillion, one hundred twelve billion, one million, twenty thousand, one hundred".