1001111110101 has 18 divisors (see below), whose sum is σ = 1501590382422. Its totient is φ = 667407402360.

The previous prime is 1001111110099. The next prime is 1001111110157. The reversal of 1001111110101 is 1010111111001.

It can be written as a sum of positive squares in only one way, i.e., 842228352900 + 158882757201 = 917730^2 + 398601^2 .

It is not a de Polignac number, because 1001111110101 - 2¹ = 1001111110099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001111110201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76286010 + ... + 76299131.

Almost surely, 2^{1001111110101} is an apocalyptic number.

It is an amenable number.

1001111110101 is a deficient number, since it is larger than the sum of its proper divisors (500479272321).

1001111110101 is an frugal number, since it uses more digits than its factorization.

1001111110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152585165 (or 152585144 counting only the distinct ones).

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

Adding to 1001111110101 its reverse (1010111111001), we get a palindrome (2011222221102).

The spelling of 1001111110101 in words is "one trillion, one billion, one hundred eleven million, one hundred ten thousand, one hundred one".