10101120202112 has 64 divisors (see below), whose sum is σ = 21051135360000. Its totient is φ = 4821611655168.

The previous prime is 10101120202111. The next prime is 10101120202127. The reversal of 10101120202112 is 21120202110101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101120202111) 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, 14957312 + ... + 15618047.

It is an arithmetic number, because the mean of its divisors is an integer number (328923990000).

Almost surely, 2^{10101120202112} is an apocalyptic number.

It is an amenable number.

10101120202112 is an abundant number, since it is smaller than the sum of its proper divisors (10950015157888).

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

10101120202112 is an equidigital number, since it uses as much as digits as its factorization.

10101120202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30575491 (or 30575479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10101120202112 its reverse (21120202110101), we get a palindrome (31221322312213).

The spelling of 10101120202112 in words is "ten trillion, one hundred one billion, one hundred twenty million, two hundred two thousand, one hundred twelve".