10212202100120 has 64 divisors (see below), whose sum is σ = 23075066160000. Its totient is φ = 4067529883648.

The previous prime is 10212202100059. The next prime is 10212202100137. The reversal of 10212202100120 is 2100120221201.

It is a junction number, because it is equal to n+sod(n) for n = 10212202100095 and 10212202100104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 233940056 + ... + 233983704.

It is an arithmetic number, because the mean of its divisors is an integer number (360547908750).

Almost surely, 2^{10212202100120} is an apocalyptic number.

10212202100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212202100120 is an abundant number, since it is smaller than the sum of its proper divisors (12862864059880).

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

10212202100120 is a wasteful number, since it uses less digits than its factorization.

10212202100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68372 (or 68368 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10212202100120 its reverse (2100120221201), we get a palindrome (12312322321321).

The spelling of 10212202100120 in words is "ten trillion, two hundred twelve billion, two hundred two million, one hundred thousand, one hundred twenty".