101120221111200 has 144 divisors (see below), whose sum is σ = 329472538032960. Its totient is φ = 26938666782720.

The previous prime is 101120221111199. The next prime is 101120221111241. The reversal of 101120221111200 is 2111122021101.

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 101120221111200.

It is an unprimeable number.

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, 18457204 + ... + 23300403.

It is an arithmetic number, because the mean of its divisors is an integer number (2288003736340).

Almost surely, 2^{101120221111200} is an apocalyptic number.

101120221111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120221111200 is an abundant number, since it is smaller than the sum of its proper divisors (228352316921760).

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

101120221111200 is a wasteful number, since it uses less digits than its factorization.

101120221111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41758639 (or 41758626 counting only the distinct ones).

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

Adding to 101120221111200 its reverse (2111122021101), we get a palindrome (103231343132301).

Subtracting from 101120221111200 its reverse (2111122021101), we obtain a palindrome (99009099090099).

The spelling of 101120221111200 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred eleven thousand, two hundred".