212101112012100 has 72 divisors (see below), whose sum is σ = 624080560141920. Its totient is φ = 55601647438080.

The previous prime is 212101112012093. The next prime is 212101112012107. The reversal of 212101112012100 is 1210211101212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212101112012093) and next prime (212101112012107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212101112012100.

It is not an unprimeable number, because it can be changed into a prime (212101112012107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5991539137 + ... + 5991574536.

Almost surely, 2^{212101112012100} is an apocalyptic number.

212101112012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101112012100 is an abundant number, since it is smaller than the sum of its proper divisors (411979448129820).

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

212101112012100 is a wasteful number, since it uses less digits than its factorization.

212101112012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11983113749 (or 11983113742 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212101112012100 its reverse (1210211101212), we get a palindrome (213311323113312).

The spelling of 212101112012100 in words is "two hundred twelve trillion, one hundred one billion, one hundred twelve million, twelve thousand, one hundred".