10102001000010 has 32 divisors (see below), whose sum is σ = 24245000239680. Its totient is φ = 2693844951168.

The previous prime is 10102000999999. The next prime is 10102001000017. The reversal of 10102001000010 is 1000010020101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (10102001000017) 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 15 ways as a sum of consecutive naturals, for example, 2547286 + ... + 5166494.

It is an arithmetic number, because the mean of its divisors is an integer number (757656257490).

Almost surely, 2^{10102001000010} is an apocalyptic number.

10102001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102001000010 is an abundant number, since it is smaller than the sum of its proper divisors (14142999239670).

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

10102001000010 is a wasteful number, since it uses less digits than its factorization.

10102001000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747782.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10102001000010 its reverse (1000010020101), we get a palindrome (11102011020111).

The spelling of 10102001000010 in words is "ten trillion, one hundred two billion, one million, ten", and thus it is an aban number.