101212111330000 has 150 divisors (see below), whose sum is σ = 269346594001562. Its totient is φ = 36804403680000.

The previous prime is 101212111329991. The next prime is 101212111330021. The reversal of 101212111330000 is 33111212101.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 10489229509264 + 90722881820736 = 3238708^2 + 9524856^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 40613187 + ... + 43033186.

Almost surely, 2^{101212111330000} is an apocalyptic number.

101212111330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212111330000 is an abundant number, since it is smaller than the sum of its proper divisors (168134482671562).

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

101212111330000 is an equidigital number, since it uses as much as digits as its factorization.

101212111330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83646423 (or 83646391 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101212111330000 its reverse (33111212101), we get a palindrome (101245222542101).

The spelling of 101212111330000 in words is "one hundred one trillion, two hundred twelve billion, one hundred eleven million, three hundred thirty thousand".