100121024213112 has 256 divisors, whose sum is σ = 303678423336960. Its totient is φ = 26853001887744.

The previous prime is 100121024213099. The next prime is 100121024213117. The reversal of 100121024213112 is 211312420121001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121024213117) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4876092798 + ... + 4876113330.

It is an arithmetic number, because the mean of its divisors is an integer number (1186243841160).

Almost surely, 2^{100121024213112} is an apocalyptic number.

100121024213112 is a gapful number since it is divisible by the number (12) 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 100121024213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151839211668480).

100121024213112 is an abundant number, since it is smaller than the sum of its proper divisors (203557399123848).

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

100121024213112 is a wasteful number, since it uses less digits than its factorization.

100121024213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24942 (or 24938 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 100121024213112 its reverse (211312420121001), we get a palindrome (311433444334113).

The spelling of 100121024213112 in words is "one hundred trillion, one hundred twenty-one billion, twenty-four million, two hundred thirteen thousand, one hundred twelve".