101222112000 has 288 divisors, whose sum is σ = 344422862784. Its totient is φ = 26333184000.

The previous prime is 101222111941. The next prime is 101222112007. The reversal of 101222112000 is 211222101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101222112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3923142 + ... + 3948858.

It is an arithmetic number, because the mean of its divisors is an integer number (1195912718).

Almost surely, 2^101222112000 is an apocalyptic number.

101222112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172211431392).

101222112000 is an abundant number, since it is smaller than the sum of its proper divisors (243200750784).

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

101222112000 is an equidigital number, since it uses as much as digits as its factorization.

101222112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25792 (or 25768 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101222112000 its reverse (211222101), we get a palindrome (101433334101).

The spelling of 101222112000 in words is "one hundred one billion, two hundred twenty-two million, one hundred twelve thousand".