100012001222000 has 640 divisors, whose sum is σ = 295589938176000. Its totient is φ = 31965954048000.

The previous prime is 100012001221871. The next prime is 100012001222047. The reversal of 100012001222000 is 222100210001.

It is a happy number.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 8718676265 + ... + 8718687735.

It is an arithmetic number, because the mean of its divisors is an integer number (461859278400).

Almost surely, 2^{100012001222000} is an apocalyptic number.

100012001222000 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 100012001222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147794969088000).

100012001222000 is an abundant number, since it is smaller than the sum of its proper divisors (195577936954000).

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

100012001222000 is a wasteful number, since it uses less digits than its factorization.

100012001222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12042 (or 12026 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100012001222000 its reverse (222100210001), we get a palindrome (100234101432001).

The spelling of 100012001222000 in words is "one hundred trillion, twelve billion, one million, two hundred twenty-two thousand".