10121201201112 has 128 divisors (see below), whose sum is σ = 26853153566400. Its totient is φ = 3167968821248.

The previous prime is 10121201201087. The next prime is 10121201201113. The reversal of 10121201201112 is 21110210212101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10121201201091 and 10121201201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121201201113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390933064 + ... + 390958952.

Almost surely, 2^{10121201201112} is an apocalyptic number.

10121201201112 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 10121201201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426576783200).

10121201201112 is an abundant number, since it is smaller than the sum of its proper divisors (16731952365288).

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

10121201201112 is a wasteful number, since it uses less digits than its factorization.

10121201201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28085 (or 28081 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10121201201112 its reverse (21110210212101), we get a palindrome (31231411413213).

The spelling of 10121201201112 in words is "ten trillion, one hundred twenty-one billion, two hundred one million, two hundred one thousand, one hundred twelve".