1011010101101 has 48 divisors (see below), whose sum is σ = 1381267112064. Its totient is φ = 719999280000.

The previous prime is 1011010101071. The next prime is 1011010101109.

1011010101101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1011010101101 - 2⁶ = 1011010101037 is a prime.

1011010101101 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011010101109) 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, 657566 + ... + 1566656.

It is an arithmetic number, because the mean of its divisors is an integer number (28776398168).

Almost surely, 2^{1011010101101} is an apocalyptic number.

1011010101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011010101101 is a deficient number, since it is larger than the sum of its proper divisors (370257010963).

1011010101101 is a wasteful number, since it uses less digits than its factorization.

1011010101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909234 (or 909223 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 1011010 and 101101, that added together give a palindrome (1112111).

The spelling of 1011010101101 in words is "one trillion, eleven billion, ten million, one hundred one thousand, one hundred one".