10102021222120 has 128 divisors (see below), whose sum is σ = 24334778160000. Its totient is φ = 3762722460672.

The previous prime is 10102021222081. The next prime is 10102021222213. The reversal of 10102021222120 is 2122212020101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10102021222094 and 10102021222103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485920686 + ... + 485941474.

It is an arithmetic number, because the mean of its divisors is an integer number (190115454375).

Almost surely, 2^{10102021222120} is an apocalyptic number.

10102021222120 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 10102021222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12167389080000).

10102021222120 is an abundant number, since it is smaller than the sum of its proper divisors (14232756937880).

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

10102021222120 is a wasteful number, since it uses less digits than its factorization.

10102021222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31715 (or 31711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10102021222120 its reverse (2122212020101), we get a palindrome (12224233242221).

It can be divided in two parts, 1010202 and 1222120, that added together give a palindrome (2232322).

The spelling of 10102021222120 in words is "ten trillion, one hundred two billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".