11902010105041 has 81 divisors (see below), whose sum is σ = 15017716888209. Its totient is φ = 9403236880128.

The previous prime is 11902010105023. The next prime is 11902010105053. The reversal of 11902010105041 is 14050101020911.

The square root of 11902010105041 is 3449929.

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

11902010105041 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 2982111080641 + 8919899024400 = 1726879^2 + 2986620^2 .

It is not a de Polignac number, because 11902010105041 - 2¹¹ = 11902010102993 is a prime.

It is a super-2 number, since 2×11902010105041² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11902010104997 and 11902010105015.

It is not an unprimeable number, because it can be changed into a prime (11902010103041) 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, 21758701930 + ... + 21758702476.

Almost surely, 2^{11902010105041} is an apocalyptic number.

11902010105041 is the 3449929-th square number.

11902010105041 is the 1724965-th centered octagonal number.

It is an amenable number.

11902010105041 is a deficient number, since it is larger than the sum of its proper divisors (3115706783168).

11902010105041 is an frugal number, since it uses more digits than its factorization.

11902010105041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 25.

Multiplying 11902010105041 by its sum of digits (25), we get a square (297550252626025 = 17249645²).

Adding to 11902010105041 its reverse (14050101020911), we get a palindrome (25952111125952).

The spelling of 11902010105041 in words is "eleven trillion, nine hundred two billion, ten million, one hundred five thousand, forty-one".