212110101100 has 72 divisors (see below), whose sum is σ = 473247585216. Its totient is φ = 82468800000.

The previous prime is 212110101083. The next prime is 212110101109. The reversal of 212110101100 is 1101011212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212110101109) 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, 1015650 + ... + 1206550.

It is an arithmetic number, because the mean of its divisors is an integer number (6572883128).

Almost surely, 2^212110101100 is an apocalyptic number.

212110101100 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 212110101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236623792608).

212110101100 is an abundant number, since it is smaller than the sum of its proper divisors (261137484116).

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

212110101100 is a wasteful number, since it uses less digits than its factorization.

212110101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191227 (or 191220 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 212110101100 its reverse (1101011212), we get a palindrome (213211112312).

The spelling of 212110101100 in words is "two hundred twelve billion, one hundred ten million, one hundred one thousand, one hundred".