212012120100 has 288 divisors, whose sum is σ = 690947776512. Its totient is φ = 49740480000.

The previous prime is 212012119919. The next prime is 212012120101. The reversal of 212012120100 is 1021210212.

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

It is not an unprimeable number, because it can be changed into a prime (212012120101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23316555 + ... + 23325645.

It is an arithmetic number, because the mean of its divisors is an integer number (2399124224).

Almost surely, 2^212012120100 is an apocalyptic number.

212012120100 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 212012120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345473888256).

212012120100 is an abundant number, since it is smaller than the sum of its proper divisors (478935656412).

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

212012120100 is a wasteful number, since it uses less digits than its factorization.

212012120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212012120100 its reverse (1021210212), we get a palindrome (213033330312).

It can be divided in two parts, 21201 and 2120100, that multiplied together give a square (44948240100 = 212010²).

The spelling of 212012120100 in words is "two hundred twelve billion, twelve million, one hundred twenty thousand, one hundred".