10120210202112 has 80 divisors (see below), whose sum is σ = 27469568419920. Its totient is φ = 3309754253312.

The previous prime is 10120210202107. The next prime is 10120210202119. The reversal of 10120210202112 is 21120201202101.

It is a super-3 number, since 3×10120210202112³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120210202091 and 10120210202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120210202119) 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 7 ways as a sum of consecutive naturals, for example, 62075937 + ... + 62238752.

It is an arithmetic number, because the mean of its divisors is an integer number (343369605249).

Almost surely, 2^{10120210202112} is an apocalyptic number.

10120210202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120210202112 is an abundant number, since it is smaller than the sum of its proper divisors (17349358217808).

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

10120210202112 is an equidigital number, since it uses as much as digits as its factorization.

10120210202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124314763 (or 124314747 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10120210202112 its reverse (21120201202101), we get a palindrome (31240411404213).

The spelling of 10120210202112 in words is "ten trillion, one hundred twenty billion, two hundred ten million, two hundred two thousand, one hundred twelve".