201220011000100 has 72 divisors (see below), whose sum is σ = 462655204687368. Its totient is φ = 75700551475200.

The previous prime is 201220011000061. The next prime is 201220011000103. The reversal of 201220011000100 is 1000110022102.

It can be written as a sum of positive squares in 12 ways, for example, as 4542218037504 + 196677792962596 = 2131248^2 + 14024186^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201220011000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38863521 + ... + 43735720.

It is an arithmetic number, because the mean of its divisors is an integer number (6425766731769).

Almost surely, 2^{201220011000100} is an apocalyptic number.

201220011000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220011000100 is an abundant number, since it is smaller than the sum of its proper divisors (261435193687268).

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

201220011000100 is a wasteful number, since it uses less digits than its factorization.

201220011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82600705 (or 82600698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201220011000100 its reverse (1000110022102), we get a palindrome (202220121022202).

The spelling of 201220011000100 in words is "two hundred one trillion, two hundred twenty billion, eleven million, one hundred", and thus it is an aban number.