101101110010011 has 36 divisors (see below), whose sum is σ = 155263965620400. Its totient is φ = 63317749940928.

The previous prime is 101101110010009. The next prime is 101101110010039. The reversal of 101101110010011 is 110010011101101.

It is not a de Polignac number, because 101101110010011 - 2¹ = 101101110010009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101101110009975 and 101101110010002.

It is not an unprimeable number, because it can be changed into a prime (101101110010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141118431 + ... + 141833048.

It is an arithmetic number, because the mean of its divisors is an integer number (4312887933900).

Almost surely, 2^{101101110010011} is an apocalyptic number.

101101110010011 is a deficient number, since it is larger than the sum of its proper divisors (54162855610389).

101101110010011 is a wasteful number, since it uses less digits than its factorization.

101101110010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282951588 (or 282951548 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101110010011 its reverse (110010011101101), we get a palindrome (211111121111112).

It can be divided in two parts, 101101 and 110010011, that multiplied together give a palindrome (11122122122111).

The spelling of 101101110010011 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, ten thousand, eleven".