101110000100110 has 64 divisors (see below), whose sum is σ = 188643488785920. Its totient is φ = 38972721191040.

The previous prime is 101110000100099. The next prime is 101110000100111. The reversal of 101110000100110 is 11001000011101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101110000100093 and 101110000100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110000100111) 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, 1296126727 + ... + 1296204733.

It is an arithmetic number, because the mean of its divisors is an integer number (2947554512280).

Almost surely, 2^{101110000100110} is an apocalyptic number.

101110000100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110000100110 is a deficient number, since it is larger than the sum of its proper divisors (87533488685810).

101110000100110 is a wasteful number, since it uses less digits than its factorization.

101110000100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86761.

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

Adding to 101110000100110 its reverse (11001000011101), we get a palindrome (112111000111211).

The spelling of 101110000100110 in words is "one hundred one trillion, one hundred ten billion, one hundred thousand, one hundred ten".