201022002012100 has 36 divisors (see below), whose sum is σ = 439401815522964. Its totient is φ = 79821875246080.

The previous prime is 201022002012089. The next prime is 201022002012103. The reversal of 201022002012100 is 1210200220102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40203690247044 + 160818311765056 = 6340638^2 + 12681416^2 .

It is not an unprimeable number, because it can be changed into a prime (201022002012103) 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 11 ways as a sum of consecutive naturals, for example, 7336555717 + ... + 7336583116.

It is an arithmetic number, because the mean of its divisors is an integer number (12205605986749).

Almost surely, 2^{201022002012100} is an apocalyptic number.

201022002012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022002012100 is an abundant number, since it is smaller than the sum of its proper divisors (238379813510864).

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

201022002012100 is a wasteful number, since it uses less digits than its factorization.

201022002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14673138984 (or 14673138977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201022002012100 its reverse (1210200220102), we get a palindrome (202232202232202).

The spelling of 201022002012100 in words is "two hundred one trillion, twenty-two billion, two million, twelve thousand, one hundred".