10210102112 has 96 divisors (see below), whose sum is σ = 23247544320. Its totient is φ = 4323755520.

The previous prime is 10210102087. The next prime is 10210102151. The reversal of 10210102112 is 21120101201.

It is a junction number, because it is equal to n+sod(n) for n = 10210102093 and 10210102102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7144214 + ... + 7145642.

It is an arithmetic number, because the mean of its divisors is an integer number (242161920).

Almost surely, 2^10210102112 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 10210102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623772160).

10210102112 is an abundant number, since it is smaller than the sum of its proper divisors (13037442208).

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

10210102112 is a wasteful number, since it uses less digits than its factorization.

10210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10210102112 its reverse (21120101201), we get a palindrome (31330203313).

The spelling of 10210102112 in words is "ten billion, two hundred ten million, one hundred two thousand, one hundred twelve".