2212686000100 has 81 divisors (see below), whose sum is σ = 5068188647067. Its totient is φ = 838384436160.

The previous prime is 2212686000073. The next prime is 2212686000137. The reversal of 2212686000100 is 10006862122.

The square root of 2212686000100 is 1487510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 619516964836 + 1593169035264 = 787094^2 + 1262208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 282622986 + ... + 282630814.

Almost surely, 2^{2212686000100} is an apocalyptic number.

2212686000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2212686000100 is the 1487510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212686000100

2212686000100 is an abundant number, since it is smaller than the sum of its proper divisors (2855502646967).

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

2212686000100 is an frugal number, since it uses more digits than its factorization.

2212686000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15710 (or 7855 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 2212686000100 in words is "two trillion, two hundred twelve billion, six hundred eighty-six million, one hundred", and thus it is an aban number.