101222121022000 has 320 divisors, whose sum is σ = 269397227473920. Its totient is φ = 36479268864000.

The previous prime is 101222121021947. The next prime is 101222121022039. The reversal of 101222121022000 is 220121222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 63 ways as a sum of consecutive naturals, for example, 1764437317 + ... + 1764494683.

It is an arithmetic number, because the mean of its divisors is an integer number (841866335856).

Almost surely, 2^{101222121022000} is an apocalyptic number.

101222121022000 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 101222121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134698613736960).

101222121022000 is an abundant number, since it is smaller than the sum of its proper divisors (168175106451920).

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

101222121022000 is a wasteful number, since it uses less digits than its factorization.

101222121022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58117 (or 58101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222121022000 its reverse (220121222101), we get a palindrome (101442242244101).

The spelling of 101222121022000 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-one million, twenty-two thousand".