100002112210000 has 400 divisors, whose sum is σ = 325077667947648. Its totient is φ = 28771833600000.

The previous prime is 100002112209959. The next prime is 100002112210019. The reversal of 100002112210000 is 12211200001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×100002112210000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 5014890 + ... + 15005110.

Almost surely, 2^{100002112210000} is an apocalyptic number.

100002112210000 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 100002112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162538833973824).

100002112210000 is an abundant number, since it is smaller than the sum of its proper divisors (225075555737648).

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

100002112210000 is a wasteful number, since it uses less digits than its factorization.

100002112210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990280 (or 9990259 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100002112210000 its reverse (12211200001), we get a palindrome (100014323410001).

The spelling of 100002112210000 in words is "one hundred trillion, two billion, one hundred twelve million, two hundred ten thousand".