101011010110011 has 48 divisors (see below), whose sum is σ = 151431020054496. Its totient is φ = 67286245072896.

The previous prime is 101011010110009. The next prime is 101011010110013. The reversal of 101011010110011 is 110011010110101.

It is an interprime number because it is at equal distance from previous prime (101011010110009) and next prime (101011010110013).

It is not a de Polignac number, because 101011010110011 - 2¹ = 101011010110009 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 = 101011010109975 and 101011010110002.

It is not an unprimeable number, because it can be changed into a prime (101011010110013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1564744111 + ... + 1564808663.

It is an arithmetic number, because the mean of its divisors is an integer number (3154812917802).

Almost surely, 2^{101011010110011} is an apocalyptic number.

101011010110011 is a deficient number, since it is larger than the sum of its proper divisors (50420009944485).

101011010110011 is an equidigital number, since it uses as much as digits as its factorization.

101011010110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69674 (or 69662 counting only the distinct ones).

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

Adding to 101011010110011 its reverse (110011010110101), we get a palindrome (211022020220112).

The spelling of 101011010110011 in words is "one hundred one trillion, eleven billion, ten million, one hundred ten thousand, eleven".