101011010111011 has 48 divisors (see below), whose sum is σ = 138047401765728. Its totient is φ = 72654016780800.

The previous prime is 101011010110973. The next prime is 101011010111017. The reversal of 101011010111011 is 110111010110101.

It is a happy number.

It is not a de Polignac number, because 101011010111011 - 2⁷ = 101011010110883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011010111017) 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, 641012671 + ... + 641170231.

It is an arithmetic number, because the mean of its divisors is an integer number (2875987536786).

Almost surely, 2^{101011010111011} is an apocalyptic number.

101011010111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101011010111011 is a deficient number, since it is larger than the sum of its proper divisors (37036391654717).

101011010111011 is a wasteful number, since it uses less digits than its factorization.

101011010111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249092 (or 249085 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101011010111011 its reverse (110111010110101), we get a palindrome (211122020221112).

It can be divided in two parts, 1010110101 and 11011, that multiplied together give a palindrome (11122322322111).

The spelling of 101011010111011 in words is "one hundred one trillion, eleven billion, ten million, one hundred eleven thousand, eleven".