100110001101110 has 64 divisors (see below), whose sum is σ = 241944170517504. Its totient is φ = 28802877436800.

The previous prime is 100110001101101. The next prime is 100110001101119. The reversal of 100110001101110 is 11101100011001.

It is an interprime number because it is at equal distance from previous prime (100110001101101) and next prime (100110001101119).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110001101119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5000489546 + ... + 5000509565.

It is an arithmetic number, because the mean of its divisors is an integer number (3780377664336).

Almost surely, 2^{100110001101110} is an apocalyptic number.

100110001101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110001101110 is an abundant number, since it is smaller than the sum of its proper divisors (141834169416394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100110001101110 is a wasteful number, since it uses less digits than its factorization.

100110001101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000999149.

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

Adding to 100110001101110 its reverse (11101100011001), we get a palindrome (111211101112111).

The spelling of 100110001101110 in words is "one hundred trillion, one hundred ten billion, one million, one hundred one thousand, one hundred ten".