201121020044100 has 252 divisors, whose sum is σ = 704684170431556. Its totient is φ = 49506712392960.

The previous prime is 201121020044047. The next prime is 201121020044101. The reversal of 201121020044100 is 1440020121102.

201121020044100 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 21 + 0 + 200 + 441 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5591361535236 + 195529658508864 = 2364606^2 + 13983192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201121020044101) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 105162367 + ... + 107057766.

Almost surely, 2^{201121020044100} is an apocalyptic number.

201121020044100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121020044100 is an abundant number, since it is smaller than the sum of its proper divisors (503563150387456).

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

201121020044100 is a wasteful number, since it uses less digits than its factorization.

201121020044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212220178 (or 212220156 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201121020044100 its reverse (1440020121102), we get a palindrome (202561040165202).

The spelling of 201121020044100 in words is "two hundred one trillion, one hundred twenty-one billion, twenty million, forty-four thousand, one hundred".