10120212202112 has 64 divisors (see below), whose sum is σ = 20292678252000. Its totient is φ = 5027171226624.

The previous prime is 10120212202069. The next prime is 10120212202127. The reversal of 10120212202112 is 21120221202101.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 56222078 + ... + 56401794.

Almost surely, 2^{10120212202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120212202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146339126000).

10120212202112 is an abundant number, since it is smaller than the sum of its proper divisors (10172466049888).

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

10120212202112 is a wasteful number, since it uses less digits than its factorization.

10120212202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182593 (or 182581 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10120212202112 its reverse (21120221202101), we get a palindrome (31240433404213).

The spelling of 10120212202112 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, two hundred two thousand, one hundred twelve".