202011212121100 has 288 divisors, whose sum is σ = 458471195965440. Its totient is φ = 77217079680000.

The previous prime is 202011212121077. The next prime is 202011212121109. The reversal of 202011212121100 is 1121212110202.

It is a super-2 number, since 2×202011212121100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202011212121109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7933506969 + ... + 7933532431.

It is an arithmetic number, because the mean of its divisors is an integer number (1591913874880).

Almost surely, 2^{202011212121100} is an apocalyptic number.

202011212121100 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 202011212121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229235597982720).

202011212121100 is an abundant number, since it is smaller than the sum of its proper divisors (256459983844340).

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

202011212121100 is a wasteful number, since it uses less digits than its factorization.

202011212121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25881 (or 25874 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202011212121100 its reverse (1121212110202), we get a palindrome (203132424231302).

The spelling of 202011212121100 in words is "two hundred two trillion, eleven billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".