100121111020112 has 160 divisors (see below), whose sum is σ = 241181682551040. Its totient is φ = 39205215129600.

The previous prime is 100121111020079. The next prime is 100121111020157. The reversal of 100121111020112 is 211020111121001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535631564 + ... + 535818452.

It is an arithmetic number, because the mean of its divisors is an integer number (1507385515944).

Almost surely, 2^{100121111020112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121111020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120590841275520).

100121111020112 is an abundant number, since it is smaller than the sum of its proper divisors (141060571530928).

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

100121111020112 is a wasteful number, since it uses less digits than its factorization.

100121111020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190661 (or 190655 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100121111020112 its reverse (211020111121001), we get a palindrome (311141222141113).

The spelling of 100121111020112 in words is "one hundred trillion, one hundred twenty-one billion, one hundred eleven million, twenty thousand, one hundred twelve".