11011101002001 has 6 divisors (see below), whose sum is σ = 15904923669570. Its totient is φ = 7340734001328.

The previous prime is 11011101001997. The next prime is 11011101002003. The reversal of 11011101002001 is 10020010111011.

It can be written as a sum of positive squares in only one way, i.e., 6990334117776 + 4020766884225 = 2643924^2 + 2005185^2 .

It is not a de Polignac number, because 11011101002001 - 2² = 11011101001997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1223455666889 = 11011101002001 / (1 + 1 + 0 + 1 + 1 + 1 + 0 + 1 + 0 + 0 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (11011101002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611727833436 + ... + 611727833453.

It is an arithmetic number, because the mean of its divisors is an integer number (2650820611595).

Almost surely, 2^{11011101002001} is an apocalyptic number.

It is an amenable number.

11011101002001 is a deficient number, since it is larger than the sum of its proper divisors (4893822667569).

11011101002001 is a wasteful number, since it uses less digits than its factorization.

11011101002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223455666895 (or 1223455666892 counting only the distinct ones).

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

Adding to 11011101002001 its reverse (10020010111011), we get a palindrome (21031111113012).

The spelling of 11011101002001 in words is "eleven trillion, eleven billion, one hundred one million, two thousand, one".