10100110000010 has 32 divisors (see below), whose sum is σ = 18605377486080. Its totient is φ = 3945583752768.

The previous prime is 10100109999989. The next prime is 10100110000037. The reversal of 10100110000010 is 1000001100101.

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 = 10100109999949 and 10100110000003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1862636 + ... + 4865144.

It is an arithmetic number, because the mean of its divisors is an integer number (581418046440).

Almost surely, 2^{10100110000010} is an apocalyptic number.

10100110000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100110000010 is a deficient number, since it is larger than the sum of its proper divisors (8505267486070).

10100110000010 is a wasteful number, since it uses less digits than its factorization.

10100110000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010382.

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

Adding to 10100110000010 its reverse (1000001100101), we get a palindrome (11100111100111).

The spelling of 10100110000010 in words is "ten trillion, one hundred billion, one hundred ten million, ten", and thus it is an aban number.