212012010101100 has 144 divisors (see below), whose sum is σ = 669944864534400. Its totient is φ = 51338643148800.

The previous prime is 212012010101069. The next prime is 212012010101107. The reversal of 212012010101100 is 1101010210212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212012010101107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33465525 + ... + 39293324.

It is an arithmetic number, because the mean of its divisors is an integer number (4652394892600).

Almost surely, 2^{212012010101100} is an apocalyptic number.

212012010101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012010101100 is an abundant number, since it is smaller than the sum of its proper divisors (457932854433300).

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

212012010101100 is a wasteful number, since it uses less digits than its factorization.

212012010101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72759760 (or 72759753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212012010101100 its reverse (1101010210212), we get a palindrome (213113020311312).

The spelling of 212012010101100 in words is "two hundred twelve trillion, twelve billion, ten million, one hundred one thousand, one hundred".