101121201216018 has 24 divisors (see below), whose sum is σ = 222097250162268. Its totient is φ = 33245326426752.

The previous prime is 101121201216017. The next prime is 101121201216059. The reversal of 101121201216018 is 810612102121101.

101121201216018 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 21 + 20 + 12 + 1 + 601 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99220186230489 + 1901014985529 = 9960933^2 + 1378773^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101121201215982 and 101121201216000.

It is not an unprimeable number, because it can be changed into a prime (101121201216017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38478385755 + ... + 38478388382.

Almost surely, 2^{101121201216018} is an apocalyptic number.

101121201216018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101121201216018 is an abundant number, since it is smaller than the sum of its proper divisors (120976048946250).

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

101121201216018 is a wasteful number, since it uses less digits than its factorization.

101121201216018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76956774218 (or 76956774215 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

Adding to 101121201216018 its reverse (810612102121101), we get a palindrome (911733303337119).

The spelling of 101121201216018 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred sixteen thousand, eighteen".