100101111010010 has 64 divisors (see below), whose sum is σ = 199605077013888. Its totient is φ = 35840887200000.

The previous prime is 100101111009881. The next prime is 100101111010073. The reversal of 100101111010010 is 10010111101001.

It is a self number, because there is not a number n which added to its sum of digits gives 100101111010010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22878596 + ... + 26900415.

It is an arithmetic number, because the mean of its divisors is an integer number (3118829328342).

Almost surely, 2^{100101111010010} is an apocalyptic number.

100101111010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101111010010 is a deficient number, since it is larger than the sum of its proper divisors (99503966003878).

100101111010010 is a wasteful number, since it uses less digits than its factorization.

100101111010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49779311.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101111010010 its reverse (10010111101001), we get a palindrome (110111222111011).

Subtracting from 100101111010010 its reverse (10010111101001), we obtain a palindrome (90090999909009).

It can be divided in two parts, 1001011 and 11010010, that added together give a palindrome (12011021).

The spelling of 100101111010010 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, ten thousand, ten".