101101112212200 has 96 divisors (see below), whose sum is σ = 314140626034560. Its totient is φ = 26897743628800.

The previous prime is 101101112212109. The next prime is 101101112212201. The reversal of 101101112212200 is 2212211101101.

It is a happy number.

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 101101112212200.

It is not an unprimeable number, because it can be changed into a prime (101101112212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195219189 + ... + 195736388.

It is an arithmetic number, because the mean of its divisors is an integer number (3272298187860).

Almost surely, 2^{101101112212200} is an apocalyptic number.

101101112212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101112212200 is an abundant number, since it is smaller than the sum of its proper divisors (213039513822360).

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

101101112212200 is a wasteful number, since it uses less digits than its factorization.

101101112212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390956027 (or 390956018 counting only the distinct ones).

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

Adding to 101101112212200 its reverse (2212211101101), we get a palindrome (103313323313301).

The spelling of 101101112212200 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, two hundred twelve thousand, two hundred".