10201022212120 has 16 divisors (see below), whose sum is σ = 22952299977360. Its totient is φ = 4080408884832.

The previous prime is 10201022212103. The next prime is 10201022212123. The reversal of 10201022212120 is 2121222010201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10201022212094 and 10201022212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201022212123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 127512777612 + ... + 127512777691.

It is an arithmetic number, because the mean of its divisors is an integer number (1434518748585).

Almost surely, 2^{10201022212120} is an apocalyptic number.

10201022212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201022212120 is an abundant number, since it is smaller than the sum of its proper divisors (12751277765240).

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

10201022212120 is a wasteful number, since it uses less digits than its factorization.

10201022212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255025555314 (or 255025555310 counting only the distinct ones).

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

Adding to 10201022212120 its reverse (2121222010201), we get a palindrome (12322244222321).

The spelling of 10201022212120 in words is "ten trillion, two hundred one billion, twenty-two million, two hundred twelve thousand, one hundred twenty".