212011100100 has 216 divisors, whose sum is σ = 681470549760. Its totient is φ = 55101392640.

The previous prime is 212011100089. The next prime is 212011100113. The reversal of 212011100100 is 1001110212.

It is a happy number.

212011100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212011100100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 18531582 + ... + 18543018.

Almost surely, 2^212011100100 is an apocalyptic number.

212011100100 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 212011100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340735274880).

212011100100 is an abundant number, since it is smaller than the sum of its proper divisors (469459449660).

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

212011100100 is a wasteful number, since it uses less digits than its factorization.

212011100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212011100100 its reverse (1001110212), we get a palindrome (213012210312).

The spelling of 212011100100 in words is "two hundred twelve billion, eleven million, one hundred thousand, one hundred".