10102002112010 has 8 divisors (see below), whose sum is σ = 18183603801636. Its totient is φ = 4040800844800.

The previous prime is 10102002111997. The next prime is 10102002112019. The reversal of 10102002112010 is 1021120020101.

It can be written as a sum of positive squares in 2 ways, for example, as 10095699181129 + 6302930881 = 3177373^2 + 79391^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10102002111982 and 10102002112000.

It is not an unprimeable number, because it can be changed into a prime (10102002112019) 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 3 ways as a sum of consecutive naturals, for example, 505100105591 + ... + 505100105610.

Almost surely, 2^{10102002112010} is an apocalyptic number.

10102002112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102002112010 is a deficient number, since it is larger than the sum of its proper divisors (8081601689626).

10102002112010 is a wasteful number, since it uses less digits than its factorization.

10102002112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010200211208.

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

Adding to 10102002112010 its reverse (1021120020101), we get a palindrome (11123122132111).

The spelling of 10102002112010 in words is "ten trillion, one hundred two billion, two million, one hundred twelve thousand, ten".