11102011001001 has 6 divisors (see below), whose sum is σ = 16036238112570. Its totient is φ = 7401340667328.

The previous prime is 11102011000991. The next prime is 11102011001027. The reversal of 11102011001001 is 10010011020111.

It can be written as a sum of positive squares in only one way, i.e., 7716867305625 + 3385143695376 = 2777925^2 + 1839876^2 .

It is not a de Polignac number, because 11102011001001 - 2¹⁸ = 11102010738857 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: 1233556777889 = 11102011001001 / (1 + 1 + 1 + 0 + 2 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (11102011001041) 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, 616778388936 + ... + 616778388953.

It is an arithmetic number, because the mean of its divisors is an integer number (2672706352095).

Almost surely, 2^{11102011001001} is an apocalyptic number.

It is an amenable number.

11102011001001 is a deficient number, since it is larger than the sum of its proper divisors (4934227111569).

11102011001001 is a wasteful number, since it uses less digits than its factorization.

11102011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233556777895 (or 1233556777892 counting only the distinct ones).

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

Adding to 11102011001001 its reverse (10010011020111), we get a palindrome (21112022021112).

The spelling of 11102011001001 in words is "eleven trillion, one hundred two billion, eleven million, one thousand, one".