1020111110001 has 18 divisors (see below), whose sum is σ = 1530088934322. Its totient is φ = 680074068960.

The previous prime is 1020111109993. The next prime is 1020111110003. The reversal of 1020111110001 is 1000111110201.

It can be written as a sum of positive squares in only one way, i.e., 1018605747600 + 1505362401 = 1009260^2 + 38799^2 .

It is not a de Polignac number, because 1020111110001 - 2³ = 1020111109993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1020111110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77733960 + ... + 77747081.

Almost surely, 2^{1020111110001} is an apocalyptic number.

It is an amenable number.

1020111110001 is a deficient number, since it is larger than the sum of its proper divisors (509977824321).

1020111110001 is an frugal number, since it uses more digits than its factorization.

1020111110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155481065 (or 155481044 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1020111110001 its reverse (1000111110201), we get a palindrome (2020222220202).

The spelling of 1020111110001 in words is "one trillion, twenty billion, one hundred eleven million, one hundred ten thousand, one".