212002100101100 has 144 divisors (see below), whose sum is σ = 473770889222400. Its totient is φ = 82296446104320.

The previous prime is 212002100101081. The next prime is 212002100101147. The reversal of 212002100101100 is 1101001200212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1658028971 + ... + 1658156829.

It is an arithmetic number, because the mean of its divisors is an integer number (3290075619600).

Almost surely, 2^{212002100101100} is an apocalyptic number.

212002100101100 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 212002100101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236885444611200).

212002100101100 is an abundant number, since it is smaller than the sum of its proper divisors (261768789121300).

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

212002100101100 is a wasteful number, since it uses less digits than its factorization.

212002100101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130392 (or 130385 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212002100101100 its reverse (1101001200212), we get a palindrome (213103101301312).

The spelling of 212002100101100 in words is "two hundred twelve trillion, two billion, one hundred million, one hundred one thousand, one hundred".