101221012120 has 64 divisors (see below), whose sum is σ = 228690216000. Its totient is φ = 40321087488.

The previous prime is 101221012099. The next prime is 101221012153. The reversal of 101221012120 is 21210122101.

101221012120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101221012120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11612884 + ... + 11621596.

It is an arithmetic number, because the mean of its divisors is an integer number (3573284625).

Almost surely, 2^101221012120 is an apocalyptic number.

101221012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221012120 is an abundant number, since it is smaller than the sum of its proper divisors (127469203880).

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

101221012120 is a wasteful number, since it uses less digits than its factorization.

101221012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9892 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101221012120 its reverse (21210122101), we get a palindrome (122431134221).

The spelling of 101221012120 in words is "one hundred one billion, two hundred twenty-one million, twelve thousand, one hundred twenty".