101222102212000 has 288 divisors, whose sum is σ = 315607892273856. Its totient is φ = 31549745472000.

The previous prime is 101222102211889. The next prime is 101222102212001. The reversal of 101222102212000 is 212201222101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101222102212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21318514 + ... + 25630513.

It is an arithmetic number, because the mean of its divisors is an integer number (1095860737062).

Almost surely, 2^{101222102212000} is an apocalyptic number.

101222102212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222102212000 is an abundant number, since it is smaller than the sum of its proper divisors (214385790061856).

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

101222102212000 is a wasteful number, since it uses less digits than its factorization.

101222102212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46949077 (or 46949052 counting only the distinct ones).

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

Adding to 101222102212000 its reverse (212201222101), we get a palindrome (101434303434101).

The spelling of 101222102212000 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred two million, two hundred twelve thousand".