100010001101110 has 32 divisors (see below), whose sum is σ = 181323152640000. Its totient is φ = 39714806425440.

The previous prime is 100010001101081. The next prime is 100010001101111. The reversal of 100010001101110 is 11101100010001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100010001101093 and 100010001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010001101111) 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, 51513100 + ... + 53419279.

It is an arithmetic number, because the mean of its divisors is an integer number (5666348520000).

Almost surely, 2^{100010001101110} is an apocalyptic number.

100010001101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010001101110 is a deficient number, since it is larger than the sum of its proper divisors (81313151538890).

100010001101110 is a wasteful number, since it uses less digits than its factorization.

100010001101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104933076.

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

Adding to 100010001101110 its reverse (11101100010001), we get a palindrome (111111101111111).

The spelling of 100010001101110 in words is "one hundred trillion, ten billion, one million, one hundred one thousand, one hundred ten".