101021221120120 has 96 divisors (see below), whose sum is σ = 264433900283280. Its totient is φ = 34632399943680.

The previous prime is 101021221120109. The next prime is 101021221120139. The reversal of 101021221120120 is 21021122120101.

It is a junction number, because it is equal to n+sod(n) for n = 101021221120094 and 101021221120103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17171400 + ... + 22291240.

Almost surely, 2^{101021221120120} is an apocalyptic number.

101021221120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021221120120 is an abundant number, since it is smaller than the sum of its proper divisors (163412679163160).

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

101021221120120 is a wasteful number, since it uses less digits than its factorization.

101021221120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129933 (or 5129922 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101021221120120 its reverse (21021122120101), we get a palindrome (122042343240221).

The spelling of 101021221120120 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty".