102112010010 has 48 divisors (see below), whose sum is σ = 266630728104. Its totient is φ = 27112997376.

The previous prime is 102112010009. The next prime is 102112010029. The reversal of 102112010010 is 10010211201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59301503361 + 42810506649 = 243519^2 + 206907^2 .

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 = 102112009974 and 102112010001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2413747 + ... + 2455686.

Almost surely, 2^102112010010 is an apocalyptic number.

102112010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112010010 is an abundant number, since it is smaller than the sum of its proper divisors (164518718094).

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

102112010010 is a wasteful number, since it uses less digits than its factorization.

102112010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869679 (or 4869676 counting only the distinct ones).

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

Adding to 102112010010 its reverse (10010211201), we get a palindrome (112122221211).

The spelling of 102112010010 in words is "one hundred two billion, one hundred twelve million, ten thousand, ten".