1111000101001 has 6 divisors (see below), whose sum is σ = 1292387872650. Its totient is φ = 952285800816.

The previous prime is 1111000100981. The next prime is 1111000101017. The reversal of 1111000101001 is 1001010001111.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 829463741001 + 281536360000 = 910749^2 + 530600^2 .

It is not a de Polignac number, because 1111000101001 - 2¹¹ = 1111000098953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1111000101031) 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, 11336735676 + ... + 11336735773.

It is an arithmetic number, because the mean of its divisors is an integer number (215397978775).

Almost surely, 2^{1111000101001} is an apocalyptic number.

It is an amenable number.

1111000101001 is a deficient number, since it is larger than the sum of its proper divisors (181387771649).

1111000101001 is an equidigital number, since it uses as much as digits as its factorization.

1111000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22673471463 (or 22673471456 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1111000101001 its reverse (1001010001111), we get a palindrome (2112010102112).

The spelling of 1111000101001 in words is "one trillion, one hundred eleven billion, one hundred one thousand, one".