10021201010112 has 112 divisors (see below), whose sum is σ = 28342039848192. Its totient is φ = 3117234616320.

The previous prime is 10021201010057. The next prime is 10021201010113. The reversal of 10021201010112 is 21101010212001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021201010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27493258 + ... + 27855369.

It is an arithmetic number, because the mean of its divisors is an integer number (253053927216).

Almost surely, 2^{10021201010112} is an apocalyptic number.

10021201010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021201010112 is an abundant number, since it is smaller than the sum of its proper divisors (18320838838080).

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

10021201010112 is a wasteful number, since it uses less digits than its factorization.

10021201010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55348706 (or 55348696 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021201010112 its reverse (21101010212001), we get a palindrome (31122211222113).

It can be divided in two parts, 100 and 21201010112, that added together give a palindrome (21201010212).

The spelling of 10021201010112 in words is "ten trillion, twenty-one billion, two hundred one million, ten thousand, one hundred twelve".