100100222310000 has 400 divisors, whose sum is σ = 356003288581248. Its totient is φ = 24026448000000.

The previous prime is 100100222309981. The next prime is 100100222310001. The reversal of 100100222310000 is 13222001001.

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

It is a super-2 number, since 2×100100222310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100222310001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31828347 + ... + 34831653.

Almost surely, 2^{100100222310000} is an apocalyptic number.

100100222310000 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 100100222310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178001644290624).

100100222310000 is an abundant number, since it is smaller than the sum of its proper divisors (255903066271248).

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

100100222310000 is a wasteful number, since it uses less digits than its factorization.

100100222310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003450 (or 3003429 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100100222310000 its reverse (13222001001), we get a palindrome (100113444311001).

The spelling of 100100222310000 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, three hundred ten thousand".