1011111010101 has 6 divisors (see below), whose sum is σ = 1460493681270. Its totient is φ = 674074006728.

The previous prime is 1011111010051. The next prime is 1011111010103. The reversal of 1011111010101 is 1010101111101.

It can be written as a sum of positive squares in only one way, i.e., 974198610225 + 36912399876 = 987015^2 + 192126^2 .

It is not a de Polignac number, because 1011111010101 - 2⁷ = 1011111009973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112345667789 = 1011111010101 / (1 + 0 + 1 + 1 + 1 + 1 + 1 + 0 + 1 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111010103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56172833886 + ... + 56172833903.

It is an arithmetic number, because the mean of its divisors is an integer number (243415613545).

Almost surely, 2^{1011111010101} is an apocalyptic number.

It is an amenable number.

1011111010101 is a deficient number, since it is larger than the sum of its proper divisors (449382671169).

1011111010101 is a wasteful number, since it uses less digits than its factorization.

1011111010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112345667795 (or 112345667792 counting only the distinct ones).

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

Adding to 1011111010101 its reverse (1010101111101), we get a palindrome (2021212121202).

The spelling of 1011111010101 in words is "one trillion, eleven billion, one hundred eleven million, ten thousand, one hundred one".