100011111222000 has 640 divisors, whose sum is σ = 364832558078976. Its totient is φ = 23356224000000.

The previous prime is 100011111221981. The next prime is 100011111222047. The reversal of 100011111222000 is 222111110001.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 246439255 + ... + 246844745.

Almost surely, 2^{100011111222000} is an apocalyptic number.

100011111222000 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 100011111222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182416279039488).

100011111222000 is an abundant number, since it is smaller than the sum of its proper divisors (264821446856976).

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

100011111222000 is a wasteful number, since it uses less digits than its factorization.

100011111222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405666 (or 405650 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011111222000 its reverse (222111110001), we get a palindrome (100233222332001).

The spelling of 100011111222000 in words is "one hundred trillion, eleven billion, one hundred eleven million, two hundred twenty-two thousand".