100111121000000 has 784 divisors, whose sum is σ = 281414427849216. Its totient is φ = 35005440000000.

The previous prime is 100111120999957. The next prime is 100111121000041. The reversal of 100111121000000 is 121111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 111 ways as a sum of consecutive naturals, for example, 58992999152 + ... + 58993000848.

Almost surely, 2^{100111121000000} is an apocalyptic number.

100111121000000 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 100111121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140707213924608).

100111121000000 is an abundant number, since it is smaller than the sum of its proper divisors (181303306849216).

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

100111121000000 is an equidigital number, since it uses as much as digits as its factorization.

100111121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111121000000 its reverse (121111001), we get a palindrome (100111242111001).

The spelling of 100111121000000 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million", and thus it is an aban number.