212220102122100 has 576 divisors, whose sum is σ = 689346279014400. Its totient is φ = 56006819781120.

The previous prime is 212220102122081. The next prime is 212220102122117. The reversal of 212220102122100 is 1221201022212.

It is a happy number.

212220102122100 is a `hidden beast` number, since 2 + 12 + 220 + 10 + 212 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142716947557 + ... + 142716949043.

It is an arithmetic number, because the mean of its divisors is an integer number (1196781734400).

Almost surely, 2^{212220102122100} is an apocalyptic number.

212220102122100 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 212220102122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344673139507200).

212220102122100 is an abundant number, since it is smaller than the sum of its proper divisors (477126176892300).

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

212220102122100 is a wasteful number, since it uses less digits than its factorization.

212220102122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212220102122100 its reverse (1221201022212), we get a palindrome (213441303144312).

The spelling of 212220102122100 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred two million, one hundred twenty-two thousand, one hundred".