101021222120 has 128 divisors (see below), whose sum is σ = 282521917440. Its totient is φ = 31654886400.

The previous prime is 101021222087. The next prime is 101021222147. The reversal of 101021222120 is 21222120101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101021222095 and 101021222104.

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 31 ways as a sum of consecutive naturals, for example, 230249 + ... + 505031.

It is an arithmetic number, because the mean of its divisors is an integer number (2207202480).

Almost surely, 2^101021222120 is an apocalyptic number.

101021222120 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 101021222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141260958720).

101021222120 is an abundant number, since it is smaller than the sum of its proper divisors (181500695320).

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

101021222120 is a wasteful number, since it uses less digits than its factorization.

101021222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274915 (or 274911 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101021222120 its reverse (21222120101), we get a palindrome (122243342221).

The spelling of 101021222120 in words is "one hundred one billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".