202111100002120 has 16 divisors (see below), whose sum is σ = 454749975004860. Its totient is φ = 80844440000832.

The previous prime is 202111100002093. The next prime is 202111100002129. The reversal of 202111100002120 is 21200001111202.

It can be written as a sum of positive squares in 2 ways, for example, as 187202651568804 + 14908448433316 = 13682202^2 + 3861146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202111100002120.

It is not an unprimeable number, because it can be changed into a prime (202111100002129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2526388749987 + ... + 2526388750066.

Almost surely, 2^{202111100002120} is an apocalyptic number.

202111100002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111100002120 is an abundant number, since it is smaller than the sum of its proper divisors (252638875002740).

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

202111100002120 is a wasteful number, since it uses less digits than its factorization.

202111100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052777500064 (or 5052777500060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202111100002120 its reverse (21200001111202), we get a palindrome (223311101113322).

The spelling of 202111100002120 in words is "two hundred two trillion, one hundred eleven billion, one hundred million, two thousand, one hundred twenty".