100101001110010 has 32 divisors (see below), whose sum is σ = 180414209422080. Its totient is φ = 39988786698432.

The previous prime is 100101001110007. The next prime is 100101001110013. The reversal of 100101001110010 is 10011100101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100101001110007) and next prime (100101001110013).

It is a junction number, because it is equal to n+sod(n) for n = 100101001109975 and 100101001110002.

It is not an unprimeable number, because it can be changed into a prime (100101001110013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22754896 + ... + 26795284.

It is an arithmetic number, because the mean of its divisors is an integer number (5637944044440).

Almost surely, 2^{100101001110010} is an apocalyptic number.

100101001110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101001110010 is a deficient number, since it is larger than the sum of its proper divisors (80313208312070).

100101001110010 is a wasteful number, since it uses less digits than its factorization.

100101001110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043590.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101001110010 its reverse (10011100101001), we get a palindrome (110112101211011).

The spelling of 100101001110010 in words is "one hundred trillion, one hundred one billion, one million, one hundred ten thousand, ten".