101293615540818 has 12 divisors (see below), whose sum is σ = 219469500338478. Its totient is φ = 33764538513600.

The previous prime is 101293615540811. The next prime is 101293615540823. The reversal of 101293615540818 is 818045516392101.

101293615540818 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 9 + 3 + 6 + 1 + 554 + 0 + 81 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67564898325369 + 33728717215449 = 8219787^2 + 5807643^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101293615540811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2813711542783 + ... + 2813711542818.

Almost surely, 2^{101293615540818} is an apocalyptic number.

101293615540818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101293615540818 is an abundant number, since it is smaller than the sum of its proper divisors (118175884797660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101293615540818 is a wasteful number, since it uses less digits than its factorization.

101293615540818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627423085609 (or 5627423085606 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 101293615540818 in words is "one hundred one trillion, two hundred ninety-three billion, six hundred fifteen million, five hundred forty thousand, eight hundred eighteen".