20100011101001 has 96 divisors (see below), whose sum is σ = 23517224709120. Its totient is φ = 17131540608000.

The previous prime is 20100011100989. The next prime is 20100011101007. The reversal of 20100011101001 is 10010111000102.

It is a happy number.

It is not a de Polignac number, because 20100011101001 - 2³⁴ = 20082831231817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20100011101001.

It is not an unprimeable number, because it can be changed into a prime (20100011101007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11247906830 + ... + 11247908616.

It is an arithmetic number, because the mean of its divisors is an integer number (244971090720).

Almost surely, 2^{20100011101001} is an apocalyptic number.

It is an amenable number.

20100011101001 is a deficient number, since it is larger than the sum of its proper divisors (3417213608119).

20100011101001 is a wasteful number, since it uses less digits than its factorization.

20100011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20100011101001 its reverse (10010111000102), we get a palindrome (30110122101103).

The spelling of 20100011101001 in words is "twenty trillion, one hundred billion, eleven million, one hundred one thousand, one".