10112222100000 has 288 divisors, whose sum is σ = 34075361662272. Its totient is φ = 2623708800000.

The previous prime is 10112222099977. The next prime is 10112222100011. The reversal of 10112222100000 is 122221101.

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

It is an unprimeable number.

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, 10644495 + ... + 11555505.

It is an arithmetic number, because the mean of its divisors is an integer number (118317227994).

Almost surely, 2^{10112222100000} is an apocalyptic number.

10112222100000 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 10112222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037680831136).

10112222100000 is an abundant number, since it is smaller than the sum of its proper divisors (23963139562272).

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

10112222100000 is an frugal number, since it uses more digits than its factorization.

10112222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911086 (or 911058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112222100000 its reverse (122221101), we get a palindrome (10112344321101).

The spelling of 10112222100000 in words is "ten trillion, one hundred twelve billion, two hundred twenty-two million, one hundred thousand".