100010101000010 has 32 divisors (see below), whose sum is σ = 187855458463872. Its totient is φ = 38262615941440.

The previous prime is 100010100999979. The next prime is 100010101000039. The reversal of 100010101000010 is 10000101010001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 100010100999958 and 100010101000003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7869356 + ... + 16184775.

It is an arithmetic number, because the mean of its divisors is an integer number (5870483076996).

Almost surely, 2^{100010101000010} is an apocalyptic number.

100010101000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010101000010 is a deficient number, since it is larger than the sum of its proper divisors (87845357463862).

100010101000010 is a wasteful number, since it uses less digits than its factorization.

100010101000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24072238.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100010101000010 its reverse (10000101010001), we get a palindrome (110010202010011).

Subtracting from 100010101000010 its reverse (10000101010001), we obtain a palindrome (90009999990009).

The spelling of 100010101000010 in words is "one hundred trillion, ten billion, one hundred one million, ten", and thus it is an aban number.