19980105201 has 81 divisors (see below), whose sum is σ = 34488949131. Its totient is φ = 11113581024.

The previous prime is 19980105181. The next prime is 19980105203. The reversal of 19980105201 is 10250108991.

The square root of 19980105201 is 141351.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14403600225 + 5576504976 = 120015^2 + 74676^2 .

It is not a de Polignac number, because 19980105201 - 2⁹ = 19980104689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19980105203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 157323600 + ... + 157323726.

Almost surely, 2^19980105201 is an apocalyptic number.

19980105201 is the 141351-st square number.

19980105201 is the 70676-th centered octagonal number.

It is an amenable number.

19980105201 is a deficient number, since it is larger than the sum of its proper divisors (14508843930).

19980105201 is an equidigital number, since it uses as much as digits as its factorization.

19980105201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

Multiplying 19980105201 by its sum of digits (36), we get a square (719283787236 = 848106²).

The spelling of 19980105201 in words is "nineteen billion, nine hundred eighty million, one hundred five thousand, two hundred one".