10120221210220 has 72 divisors (see below), whose sum is σ = 24165669452400. Its totient is φ = 3553181089920.

The previous prime is 10120221210173. The next prime is 10120221210247. The reversal of 10120221210220 is 2201212202101.

It is a happy number.

It is a super-2 number, since 2×10120221210220² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120221210194 and 10120221210203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72031710 + ... + 72172069.

It is an arithmetic number, because the mean of its divisors is an integer number (335634297950).

Almost surely, 2^{10120221210220} is an apocalyptic number.

10120221210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120221210220 is an abundant number, since it is smaller than the sum of its proper divisors (14045448242180).

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

10120221210220 is a wasteful number, since it uses less digits than its factorization.

10120221210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144203839 (or 144203826 counting only the distinct ones).

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

Adding to 10120221210220 its reverse (2201212202101), we get a palindrome (12321433412321).

The spelling of 10120221210220 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty".