20002212121100 has 288 divisors, whose sum is σ = 49336804242432. Its totient is φ = 6975072000000.

The previous prime is 20002212121081. The next prime is 20002212121169. The reversal of 20002212121100 is 112121220002.

It is a super-2 number, since 2×20002212121100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2222216600 + ... + 2222225600.

It is an arithmetic number, because the mean of its divisors is an integer number (171308348064).

Almost surely, 2^{20002212121100} is an apocalyptic number.

20002212121100 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 20002212121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24668402121216).

20002212121100 is an abundant number, since it is smaller than the sum of its proper divisors (29334592121332).

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

20002212121100 is a wasteful number, since it uses less digits than its factorization.

20002212121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20002212121100 its reverse (112121220002), we get a palindrome (20114333341102).

The spelling of 20002212121100 in words is "twenty trillion, two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".