201120221100100 has 18 divisors (see below), whose sum is σ = 436430879787434. Its totient is φ = 80448088440000.

The previous prime is 201120221100089. The next prime is 201120221100103. The reversal of 201120221100100 is 1001122021102.

It can be written as a sum of positive squares in 3 ways, for example, as 58462661703744 + 142657559396356 = 7646088^2 + 11943934^2 .

It is not an unprimeable number, because it can be changed into a prime (201120221100103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005601105401 + ... + 1005601105600.

Almost surely, 2^{201120221100100} is an apocalyptic number.

201120221100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120221100100 is an abundant number, since it is smaller than the sum of its proper divisors (235310658687334).

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

201120221100100 is a wasteful number, since it uses less digits than its factorization.

201120221100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011202211015 (or 2011202211008 counting only the distinct ones).

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

Adding to 201120221100100 its reverse (1001122021102), we get a palindrome (202121343121202).

The spelling of 201120221100100 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred thousand, one hundred".