100102220212000 has 192 divisors, whose sum is σ = 257359656153600. Its totient is φ = 38193282124800.

The previous prime is 100102220211989. The next prime is 100102220212003. The reversal of 100102220212000 is 212022201001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100102220212003) 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 31 ways as a sum of consecutive naturals, for example, 31512586 + ... + 34543414.

It is an arithmetic number, because the mean of its divisors is an integer number (1340414875800).

Almost surely, 2^{100102220212000} is an apocalyptic number.

100102220212000 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 100102220212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128679828076800).

100102220212000 is an abundant number, since it is smaller than the sum of its proper divisors (157257435941600).

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

100102220212000 is a wasteful number, since it uses less digits than its factorization.

100102220212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031236 (or 3031218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100102220212000 its reverse (212022201001), we get a palindrome (100314242413001).

The spelling of 100102220212000 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, two hundred twelve thousand".