2012212122100 has 36 divisors (see below), whose sum is σ = 4517069287500. Its totient is φ = 777130197760.

The previous prime is 2012212122017. The next prime is 2012212122119. The reversal of 2012212122100 is 12212122102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8758713744 + 2003453408356 = 93588^2 + 1415434^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346930225 + ... + 346936024.

It is an arithmetic number, because the mean of its divisors is an integer number (125474146875).

Almost surely, 2^{2012212122100} is an apocalyptic number.

2012212122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012212122100 is an abundant number, since it is smaller than the sum of its proper divisors (2504857165400).

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

2012212122100 is a wasteful number, since it uses less digits than its factorization.

2012212122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693866292 (or 693866285 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2012212122100 its reverse (12212122102), we get a palindrome (2024424244202).

It can be divided in two parts, 2012212 and 122100, that added together give a palindrome (2134312).

The spelling of 2012212122100 in words is "two trillion, twelve billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".