10000101000010 has 48 divisors (see below), whose sum is σ = 19787521926816. Its totient is φ = 3635996364000.

The previous prime is 10000101000007. The next prime is 10000101000013. The reversal of 10000101000010 is 1000010100001.

It is an interprime number because it is at equal distance from previous prime (10000101000007) and next prime (10000101000013).

It is not an unprimeable number, because it can be changed into a prime (10000101000013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10545565 + ... + 11454655.

It is an arithmetic number, because the mean of its divisors is an integer number (412240040142).

Almost surely, 2^{10000101000010} is an apocalyptic number.

10000101000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000101000010 is a deficient number, since it is larger than the sum of its proper divisors (9787420926806).

10000101000010 is a wasteful number, since it uses less digits than its factorization.

10000101000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918211 (or 918200 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000101000010 its reverse (1000010100001), we get a palindrome (11000111100011).

Subtracting from 10000101000010 its reverse (1000010100001), we obtain a palindrome (9000090900009).

The spelling of 10000101000010 in words is "ten trillion, one hundred one million, ten", and thus it is an aban number.