20100111101001 has 12 divisors (see below), whose sum is σ = 29818182835012. Its totient is φ = 13037909903136.

The previous prime is 20100111100981. The next prime is 20100111101033. The reversal of 20100111101001 is 10010111100102.

It can be written as a sum of positive squares in 2 ways, for example, as 15377417174025 + 4722693926976 = 3921405^2 + 2173176^2 .

It is not a de Polignac number, because 20100111101001 - 2¹⁰ = 20100111099977 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 (20100111101041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30180346666 + ... + 30180347331.

Almost surely, 2^{20100111101001} is an apocalyptic number.

It is an amenable number.

20100111101001 is a deficient number, since it is larger than the sum of its proper divisors (9718071734011).

20100111101001 is a wasteful number, since it uses less digits than its factorization.

20100111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60360694040 (or 60360694037 counting only the distinct ones).

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

Adding to 20100111101001 its reverse (10010111100102), we get a palindrome (30110222201103).

The spelling of 20100111101001 in words is "twenty trillion, one hundred billion, one hundred eleven million, one hundred one thousand, one".