1011200111001 has 16 divisors (see below), whose sum is σ = 1500287078400. Its totient is φ = 673137629424.

The previous prime is 1011200110997. The next prime is 1011200111017. The reversal of 1011200111001 is 1001110021101.

1011200111001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011200111001 - 2² = 1011200110997 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 (1011200111501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27641881 + ... + 27678438.

It is an arithmetic number, because the mean of its divisors is an integer number (93767942400).

Almost surely, 2^{1011200111001} is an apocalyptic number.

It is an amenable number.

1011200111001 is a deficient number, since it is larger than the sum of its proper divisors (489086967399).

1011200111001 is an equidigital number, since it uses as much as digits as its factorization.

1011200111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55321005 (or 55320999 counting only the distinct ones).

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

Adding to 1011200111001 its reverse (1001110021101), we get a palindrome (2012310132102).

The spelling of 1011200111001 in words is "one trillion, eleven billion, two hundred million, one hundred eleven thousand, one".