218201102812 has 96 divisors (see below), whose sum is σ = 493009219584. Its totient is φ = 82007078400.

The previous prime is 218201102803. The next prime is 218201102891.

218201102812 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×218201102812² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2952018 + ... + 3025030.

It is an arithmetic number, because the mean of its divisors is an integer number (5135512704).

Almost surely, 2^218201102812 is an apocalyptic number.

218201102812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218201102812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246504609792).

218201102812 is an abundant number, since it is smaller than the sum of its proper divisors (274808116772).

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

218201102812 is a wasteful number, since it uses less digits than its factorization.

218201102812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73379 (or 73377 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The spelling of 218201102812 in words is "two hundred eighteen billion, two hundred one million, one hundred two thousand, eight hundred twelve".