101811712252041 has 45 divisors (see below), whose sum is σ = 167173957879159. Its totient is φ = 61703462620800.

The previous prime is 101811712252039. The next prime is 101811712252051. The reversal of 101811712252041 is 140252217118101.

The square root of 101811712252041 is 10090179.

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

101811712252041 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 1 + 7 + 122 + 520 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 879148141641 + 100932564110400 = 937629^2 + 10046520^2 .

It is not a de Polignac number, because 101811712252041 - 2¹ = 101811712252039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101811712251987 and 101811712252005.

It is not an unprimeable number, because it can be changed into a prime (101811712252051) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 998876761 + ... + 998978681.

Almost surely, 2^{101811712252041} is an apocalyptic number.

101811712252041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101811712252041 is the 10090179-th square number.

101811712252041 is the 5045090-th centered octagonal number.

It is an amenable number.

101811712252041 is a deficient number, since it is larger than the sum of its proper divisors (65362245627118).

101811712252041 is an frugal number, since it uses more digits than its factorization.

101811712252041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203876 (or 101935 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 101811712252041 in words is "one hundred one trillion, eight hundred eleven billion, seven hundred twelve million, two hundred fifty-two thousand, forty-one".