10210222210120 has 16 divisors (see below), whose sum is σ = 22972999972860. Its totient is φ = 4084088884032.

The previous prime is 10210222210049. The next prime is 10210222210127. The reversal of 10210222210120 is 2101222201201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10140186821956 + 70035388164 = 3184366^2 + 264642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10210222210094 and 10210222210103.

It is not an unprimeable number, because it can be changed into a prime (10210222210127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127627777587 + ... + 127627777666.

Almost surely, 2^{10210222210120} is an apocalyptic number.

10210222210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210222210120 is an abundant number, since it is smaller than the sum of its proper divisors (12762777762740).

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

10210222210120 is a wasteful number, since it uses less digits than its factorization.

10210222210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255255555264 (or 255255555260 counting only the distinct ones).

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

Adding to 10210222210120 its reverse (2101222201201), we get a palindrome (12311444411321).

The spelling of 10210222210120 in words is "ten trillion, two hundred ten billion, two hundred twenty-two million, two hundred ten thousand, one hundred twenty".