100101000101110 has 16 divisors (see below), whose sum is σ = 180462895045632. Its totient is φ = 39977934515200.

The previous prime is 100101000101041. The next prime is 100101000101111. The reversal of 100101000101110 is 11101000101001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100101000101093 and 100101000101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101000101111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7808183926 + ... + 7808196745.

It is an arithmetic number, because the mean of its divisors is an integer number (11278930940352).

Almost surely, 2^{100101000101110} is an apocalyptic number.

100101000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101000101110 is a deficient number, since it is larger than the sum of its proper divisors (80361894944522).

100101000101110 is a wasteful number, since it uses less digits than its factorization.

100101000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15616381319.

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

Adding to 100101000101110 its reverse (11101000101001), we get a palindrome (111202000202111).

The spelling of 100101000101110 in words is "one hundred trillion, one hundred one billion, one hundred one thousand, one hundred ten".