100000000101110 has 128 divisors (see below), whose sum is σ = 187544280268800. Its totient is φ = 38361413376000.

The previous prime is 100000000101107. The next prime is 100000000101179. The reversal of 100000000101110 is 11101000000001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100000000101094 and 100000000101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16423054946 + ... + 16423061034.

It is an arithmetic number, because the mean of its divisors is an integer number (1465189689600).

Almost surely, 2^{100000000101110} is an apocalyptic number.

100000000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000000101110 is a deficient number, since it is larger than the sum of its proper divisors (87544280167690).

100000000101110 is a wasteful number, since it uses less digits than its factorization.

100000000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100000000101110 its reverse (11101000000001), we get a palindrome (111101000101111).

The spelling of 100000000101110 in words is "one hundred trillion, one hundred one thousand, one hundred ten".