100101121110012 has 48 divisors (see below), whose sum is σ = 261689417361792. Its totient is φ = 29513844060480.

The previous prime is 100101121109921. The next prime is 100101121110047. The reversal of 100101121110012 is 210011121101001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100101121110012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10247857638 + ... + 10247867405.

It is an arithmetic number, because the mean of its divisors is an integer number (5451862861704).

Almost surely, 2^{100101121110012} is an apocalyptic number.

100101121110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101121110012 is an abundant number, since it is smaller than the sum of its proper divisors (161588296251780).

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

100101121110012 is a wasteful number, since it uses less digits than its factorization.

100101121110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20495725098 (or 20495725096 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101121110012 its reverse (210011121101001), we get a palindrome (310112242211013).

The spelling of 100101121110012 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, one hundred ten thousand, twelve".