101781148041 has 12 divisors (see below), whose sum is σ = 147024045168. Its totient is φ = 67850945784.

The previous prime is 101781148003. The next prime is 101781148093. The reversal of 101781148041 is 140841187101.

101781148041 is a `hidden beast` number, since 1 + 0 + 178 + 1 + 1 + 480 + 4 + 1 = 666.

It is not a de Polignac number, because 101781148041 - 2⁹ = 101781147529 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 101781147987 and 101781148005.

It is not an unprimeable number, because it can be changed into a prime (101781148841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49155 + ... + 453848.

It is an arithmetic number, because the mean of its divisors is an integer number (12252003764).

Almost surely, 2^101781148041 is an apocalyptic number.

It is an amenable number.

101781148041 is a deficient number, since it is larger than the sum of its proper divisors (45242897127).

101781148041 is a wasteful number, since it uses less digits than its factorization.

101781148041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525492 (or 525489 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 101781148041 in words is "one hundred one billion, seven hundred eighty-one million, one hundred forty-eight thousand, forty-one".