2012022122100 has 288 divisors, whose sum is σ = 6111868815360. Its totient is φ = 510069711360.

The previous prime is 2012022122057. The next prime is 2012022122111. The reversal of 2012022122100 is 12212202102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012022122100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 887525167 + ... + 887527433.

It is an arithmetic number, because the mean of its divisors is an integer number (21221766720).

Almost surely, 2^{2012022122100} is an apocalyptic number.

2012022122100 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 2012022122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055934407680).

2012022122100 is an abundant number, since it is smaller than the sum of its proper divisors (4099846693260).

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

2012022122100 is a wasteful number, since it uses less digits than its factorization.

2012022122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2012022122100 its reverse (12212202102), we get a palindrome (2024234324202).

The spelling of 2012022122100 in words is "two trillion, twelve billion, twenty-two million, one hundred twenty-two thousand, one hundred".