1012101221120 has 144 divisors (see below), whose sum is σ = 2664882823680. Its totient is φ = 365226700800.

The previous prime is 1012101221113. The next prime is 1012101221129. The reversal of 1012101221120 is 211221012101.

1012101221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1012101221095 and 1012101221104.

It is not an unprimeable number, because it can be changed into a prime (1012101221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1570121 + ... + 2118839.

It is an arithmetic number, because the mean of its divisors is an integer number (18506130720).

Almost surely, 2^{1012101221120} is an apocalyptic number.

1012101221120 is a gapful number since it is divisible by the number (10) 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 1012101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332441411840).

1012101221120 is an abundant number, since it is smaller than the sum of its proper divisors (1652781602560).

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

1012101221120 is a wasteful number, since it uses less digits than its factorization.

1012101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548882 (or 548868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012101221120 its reverse (211221012101), we get a palindrome (1223322233221).

The spelling of 1012101221120 in words is "one trillion, twelve billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".