101211111200 has 72 divisors (see below), whose sum is σ = 250769543472. Its totient is φ = 39880177920.

The previous prime is 101211111187. The next prime is 101211111289. The reversal of 101211111200 is 2111112101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 890534 + ... + 997733.

It is an arithmetic number, because the mean of its divisors is an integer number (3482910326).

Almost surely, 2^101211111200 is an apocalyptic number.

101211111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211111200 is an abundant number, since it is smaller than the sum of its proper divisors (149558432272).

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

101211111200 is a wasteful number, since it uses less digits than its factorization.

101211111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888354 (or 1888341 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101211111200 its reverse (2111112101), we get a palindrome (103322223301).

Subtracting from 101211111200 its reverse (2111112101), we obtain a palindrome (99099999099).

The spelling of 101211111200 in words is "one hundred one billion, two hundred eleven million, one hundred eleven thousand, two hundred".