10120221201012 has 24 divisors (see below), whose sum is σ = 25430299428576. Its totient is φ = 3113914215648.

The previous prime is 10120221200993. The next prime is 10120221201019. The reversal of 10120221201012 is 21010212202101.

It is a junction number, because it is equal to n+sod(n) for n = 10120221200982 and 10120221201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120221201019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32436606258 + ... + 32436606569.

It is an arithmetic number, because the mean of its divisors is an integer number (1059595809524).

Almost surely, 2^{10120221201012} is an apocalyptic number.

10120221201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120221201012 is an abundant number, since it is smaller than the sum of its proper divisors (15310078227564).

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

10120221201012 is a wasteful number, since it uses less digits than its factorization.

10120221201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64873212847 (or 64873212845 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10120221201012 its reverse (21010212202101), we get a palindrome (31130433403113).

The spelling of 10120221201012 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, two hundred one thousand, twelve".