101101110000046 has 64 divisors (see below), whose sum is σ = 175031593228800. Its totient is φ = 43405939898496.

The previous prime is 101101109999969. The next prime is 101101110000047. The reversal of 101101110000046 is 640000011101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101109999984 and 101101110000029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101110000047) 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, 22828255 + ... + 26894821.

It is an arithmetic number, because the mean of its divisors is an integer number (2734868644200).

Almost surely, 2^{101101110000046} is an apocalyptic number.

101101110000046 is a deficient number, since it is larger than the sum of its proper divisors (73930483228754).

101101110000046 is a wasteful number, since it uses less digits than its factorization.

101101110000046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067513.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101101110000046 its reverse (640000011101101), we get a palindrome (741101121101147).

The spelling of 101101110000046 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, forty-six", and thus it is an aban number.