212011101012 has 96 divisors (see below), whose sum is σ = 534119249664. Its totient is φ = 65214720000.

The previous prime is 212011100993. The next prime is 212011101023. The reversal of 212011101012 is 210101110212.

212011101012 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 2072262 + ... + 2172162.

It is an arithmetic number, because the mean of its divisors is an integer number (5563742184).

Almost surely, 2^212011101012 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 212011101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267059624832).

212011101012 is an abundant number, since it is smaller than the sum of its proper divisors (322108148652).

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

212011101012 is a wasteful number, since it uses less digits than its factorization.

212011101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100129 (or 100127 counting only the distinct ones).

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

Adding to 212011101012 its reverse (210101110212), we get a palindrome (422112211224).

The spelling of 212011101012 in words is "two hundred twelve billion, eleven million, one hundred one thousand, twelve".