10201259111481 has 81 divisors (see below), whose sum is σ = 15802525029837. Its totient is φ = 6340867188480.

The previous prime is 10201259111473. The next prime is 10201259111513. The reversal of 10201259111481 is 18411195210201.

The square root of 10201259111481 is 3193941.

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

10201259111481 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 12 + 59 + 111 + 481 = 666.

10201259111481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7708902273081 + 2492356838400 = 2776491^2 + 1578720^2 .

It is not a de Polignac number, because 10201259111481 - 2³ = 10201259111473 is a prime.

It is a super-2 number, since 2×10201259111481² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10201259111401) 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, 9035658525 + ... + 9035659653.

Almost surely, 2^{10201259111481} is an apocalyptic number.

10201259111481 is the 3193941-st square number.

10201259111481 is the 1596971-st centered octagonal number.

It is an amenable number.

10201259111481 is a deficient number, since it is larger than the sum of its proper divisors (5601265918356).

10201259111481 is an frugal number, since it uses more digits than its factorization.

10201259111481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

Multiplying 10201259111481 by its sum of digits (36), we get a square (367245328013316 = 19163646²).

The spelling of 10201259111481 in words is "ten trillion, two hundred one billion, two hundred fifty-nine million, one hundred eleven thousand, four hundred eighty-one".