1011101011012 has 6 divisors (see below), whose sum is σ = 1769426769278. Its totient is φ = 505550505504.

The previous prime is 1011101010979. The next prime is 1011101011031. The reversal of 1011101011012 is 2101101011101.

It can be written as a sum of positive squares in only one way, i.e., 601111798596 + 409989212416 = 775314^2 + 640304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1011101011012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126387626373 + ... + 126387626380.

Almost surely, 2^{1011101011012} is an apocalyptic number.

It is an amenable number.

1011101011012 is a deficient number, since it is larger than the sum of its proper divisors (758325758266).

1011101011012 is a wasteful number, since it uses less digits than its factorization.

1011101011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252775252757 (or 252775252755 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1011101011012 its reverse (2101101011101), we get a palindrome (3112202022113).

The spelling of 1011101011012 in words is "one trillion, eleven billion, one hundred one million, eleven thousand, twelve".