1011200201001 has 12 divisors (see below), whose sum is σ = 1460758033540. Its totient is φ = 674070919200.

The previous prime is 1011200200993. The next prime is 1011200201027. The reversal of 1011200201001 is 1001020021101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 655167211776 + 356032989225 = 809424^2 + 596685^2 .

It is not a de Polignac number, because 1011200201001 - 2³ = 1011200200993 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011200241001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5109850 + ... + 5304051.

Almost surely, 2^{1011200201001} is an apocalyptic number.

It is an amenable number.

1011200201001 is a deficient number, since it is larger than the sum of its proper divisors (449557832539).

1011200201001 is a wasteful number, since it uses less digits than its factorization.

1011200201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424696 (or 10424693 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011200201001 its reverse (1001020021101), we get a palindrome (2012220222102).

It can be divided in two parts, 1011200 and 201001, that added together give a square (1212201 = 1101²).

The spelling of 1011200201001 in words is "one trillion, eleven billion, two hundred million, two hundred one thousand, one".