101100222111200 has 72 divisors (see below), whose sum is σ = 265796372427768. Its totient is φ = 37329312775680.

The previous prime is 101100222111151. The next prime is 101100222111209. The reversal of 101100222111200 is 2111222001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100222111209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4860577202 + ... + 4860598001.

It is an arithmetic number, because the mean of its divisors is an integer number (3691616283719).

Almost surely, 2^{101100222111200} is an apocalyptic number.

101100222111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100222111200 is an abundant number, since it is smaller than the sum of its proper divisors (164696150316568).

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

101100222111200 is a wasteful number, since it uses less digits than its factorization.

101100222111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9721175236 (or 9721175223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101100222111200 its reverse (2111222001101), we get a palindrome (103211444112301).

The spelling of 101100222111200 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".