10121121100000 has 72 divisors (see below), whose sum is σ = 24905852626536. Its totient is φ = 4048448400000.

The previous prime is 10121121099953. The next prime is 10121121100001. The reversal of 10121121100000 is 112112101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10121121100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121100001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 50505606 + ... + 50705605.

It is an arithmetic number, because the mean of its divisors is an integer number (345914619813).

Almost surely, 2^{10121121100000} is an apocalyptic number.

10121121100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121121100000 is an abundant number, since it is smaller than the sum of its proper divisors (14784731526536).

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

10121121100000 is an frugal number, since it uses more digits than its factorization.

10121121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101211246 (or 101211218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121121100000 its reverse (112112101), we get a palindrome (10121233212101).

It can be divided in two parts, 1012112 and 1100000, that added together give a palindrome (2112112).

The spelling of 10121121100000 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred thousand".