100010100101110 has 8 divisors (see below), whose sum is σ = 180018180182016. Its totient is φ = 40004040040440.

The previous prime is 100010100101081. The next prime is 100010100101111. The reversal of 100010100101110 is 11101001010001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 100010100101093 and 100010100101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5000505005046 + ... + 5000505005065.

It is an arithmetic number, because the mean of its divisors is an integer number (22502272522752).

Almost surely, 2^{100010100101110} is an apocalyptic number.

100010100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010100101110 is a deficient number, since it is larger than the sum of its proper divisors (80008080080906).

100010100101110 is a wasteful number, since it uses less digits than its factorization.

100010100101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001010010118.

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

Adding to 100010100101110 its reverse (11101001010001), we get a palindrome (111111101111111).

The spelling of 100010100101110 in words is "one hundred trillion, ten billion, one hundred million, one hundred one thousand, one hundred ten".