10121002210120 has 32 divisors (see below), whose sum is σ = 22973779363320. Its totient is φ = 4012574325760.

The previous prime is 10121002210069. The next prime is 10121002210129. The reversal of 10121002210120 is 2101220012101.

It can be written as a sum of positive squares in 4 ways, for example, as 8247591347044 + 1873410863076 = 2871862^2 + 1368726^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10121002210120.

It is not an unprimeable number, because it can be changed into a prime (10121002210129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1119575371 + ... + 1119584410.

Almost surely, 2^{10121002210120} is an apocalyptic number.

10121002210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121002210120 is an abundant number, since it is smaller than the sum of its proper divisors (12852777153200).

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

10121002210120 is a wasteful number, since it uses less digits than its factorization.

10121002210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239159905 (or 2239159901 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121002210120 its reverse (2101220012101), we get a palindrome (12222222222221).

The spelling of 10121002210120 in words is "ten trillion, one hundred twenty-one billion, two million, two hundred ten thousand, one hundred twenty".