20121202121100 has 144 divisors (see below), whose sum is σ = 60305051896320. Its totient is φ = 5173731360000.

The previous prime is 20121202121099. The next prime is 20121202121131. The reversal of 20121202121100 is 112120212102.

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 20121202121100.

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, 4993899 + ... + 8073501.

Almost surely, 2^{20121202121100} is an apocalyptic number.

20121202121100 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 20121202121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30152525948160).

20121202121100 is an abundant number, since it is smaller than the sum of its proper divisors (40183849775220).

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

20121202121100 is a wasteful number, since it uses less digits than its factorization.

20121202121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080400 (or 3080393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20121202121100 its reverse (112120212102), we get a palindrome (20233322333202).

The spelling of 20121202121100 in words is "twenty trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-one thousand, one hundred".