101221200120 has 64 divisors (see below), whose sum is σ = 304010169120. Its totient is φ = 26961513984.

The previous prime is 101221200103. The next prime is 101221200139. The reversal of 101221200120 is 21002122101.

101221200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101221200096 and 101221200105.

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, 375667 + ... + 586146.

Almost surely, 2^101221200120 is an apocalyptic number.

101221200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221200120 is an abundant number, since it is smaller than the sum of its proper divisors (202788969000).

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

101221200120 is a wasteful number, since it uses less digits than its factorization.

101221200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962704 (or 962700 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101221200120 its reverse (21002122101), we get a palindrome (122223322221).

The spelling of 101221200120 in words is "one hundred one billion, two hundred twenty-one million, two hundred thousand, one hundred twenty".