100110021001218 has 96 divisors (see below), whose sum is σ = 223568739576000. Its totient is φ = 32355099302400.

The previous prime is 100110021001217. The next prime is 100110021001219. The reversal of 100110021001218 is 812100120011001.

It is an interprime number because it is at equal distance from previous prime (100110021001217) and next prime (100110021001219).

It is a super-2 number, since 2×100110021001218² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100110021001218.

It is not an unprimeable number, because it can be changed into a prime (100110021001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224218278 + ... + 224664318.

It is an arithmetic number, because the mean of its divisors is an integer number (2328841037250).

Almost surely, 2^{100110021001218} is an apocalyptic number.

100110021001218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100110021001218 is an abundant number, since it is smaller than the sum of its proper divisors (123458718574782).

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

100110021001218 is a wasteful number, since it uses less digits than its factorization.

100110021001218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447968 (or 447965 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100110021001218 its reverse (812100120011001), we get a palindrome (912210141012219).

The spelling of 100110021001218 in words is "one hundred trillion, one hundred ten billion, twenty-one million, one thousand, two hundred eighteen".