10102112010 has 96 divisors (see below), whose sum is σ = 27212412240. Its totient is φ = 2597059584.

The previous prime is 10102111969. The next prime is 10102112023. The reversal of 10102112010 is 1021120101.

It is a happy number.

10102112010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1855111041 + 8247000969 = 43071^2 + 90813^2 .

It is a super-3 number, since 3×10102112010³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102111983 and 10102112001.

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 47 ways as a sum of consecutive naturals, for example, 1973214 + ... + 1978326.

Almost surely, 2^10102112010 is an apocalyptic number.

10102112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606206120).

10102112010 is an abundant number, since it is smaller than the sum of its proper divisors (17110300230).

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

10102112010 is a wasteful number, since it uses less digits than its factorization.

10102112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102112010 its reverse (1021120101), we get a palindrome (11123232111).

The spelling of 10102112010 in words is "ten billion, one hundred two million, one hundred twelve thousand, ten".