101001000101110 has 32 divisors (see below), whose sum is σ = 182328106270464. Its totient is φ = 40283570064000.

The previous prime is 101001000101051. The next prime is 101001000101119. The reversal of 101001000101110 is 11101000100101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101001000101093 and 101001000101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000101119) 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, 1565926 + ... + 14298745.

It is an arithmetic number, because the mean of its divisors is an integer number (5697753320952).

Almost surely, 2^{101001000101110} is an apocalyptic number.

101001000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001000101110 is a deficient number, since it is larger than the sum of its proper divisors (81327106169354).

101001000101110 is a wasteful number, since it uses less digits than its factorization.

101001000101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15866520.

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

Adding to 101001000101110 its reverse (11101000100101), we get a palindrome (112102000201211).

The spelling of 101001000101110 in words is "one hundred one trillion, one billion, one hundred one thousand, one hundred ten".