102112002010 has 8 divisors (see below), whose sum is σ = 183801603636. Its totient is φ = 40844800800.

The previous prime is 102112001963. The next prime is 102112002011. The reversal of 102112002010 is 10200211201.

It can be written as a sum of positive squares in 2 ways, for example, as 91401614929 + 10710387081 = 302327^2 + 103491^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 10211200201 = 102112002010 / (1 + 0 + 2 + 1 + 1 + 2 + 0 + 0 + 2 + 0 + 1 + 0).

It is not an unprimeable number, because it can be changed into a prime (102112002011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5105600091 + ... + 5105600110.

Almost surely, 2^102112002010 is an apocalyptic number.

102112002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112002010 is a deficient number, since it is larger than the sum of its proper divisors (81689601626).

102112002010 is a wasteful number, since it uses less digits than its factorization.

102112002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211200208.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102112002010 its reverse (10200211201), we get a palindrome (112312213211).

The spelling of 102112002010 in words is "one hundred two billion, one hundred twelve million, two thousand, ten".