20100011102001 has 6 divisors (see below), whose sum is σ = 29033349369570. Its totient is φ = 13400007401328.

The previous prime is 20100011101997. The next prime is 20100011102033. The reversal of 20100011102001 is 10020111000102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11219491901601 + 8880519200400 = 3349551^2 + 2980020^2 .

It is not a de Polignac number, because 20100011102001 - 2² = 20100011101997 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: 2233334566889 = 20100011102001 / (2 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 1 + 0 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (20100011102701) 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, 1116667283436 + ... + 1116667283453.

It is an arithmetic number, because the mean of its divisors is an integer number (4838891561595).

Almost surely, 2^{20100011102001} is an apocalyptic number.

It is an amenable number.

20100011102001 is a deficient number, since it is larger than the sum of its proper divisors (8933338267569).

20100011102001 is a wasteful number, since it uses less digits than its factorization.

20100011102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233334566895 (or 2233334566892 counting only the distinct ones).

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

Adding to 20100011102001 its reverse (10020111000102), we get a palindrome (30120122102103).

The spelling of 20100011102001 in words is "twenty trillion, one hundred billion, eleven million, one hundred two thousand, one".