20002101100011 has 12 divisors (see below), whose sum is σ = 29156987333760. Its totient is φ = 13212397056240.

The previous prime is 20002101099997. The next prime is 20002101100043. The reversal of 20002101100011 is 11000110120002.

It is a happy number.

It is not a de Polignac number, because 20002101100011 - 2¹¹ = 20002101097963 is a prime.

It is a super-2 number, since 2×20002101100011² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20002101099966 and 20002101100002.

It is not an unprimeable number, because it can be changed into a prime (20002101100811) 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, 10194749835 + ... + 10194751796.

It is an arithmetic number, because the mean of its divisors is an integer number (2429748944480).

Almost surely, 2^{20002101100011} is an apocalyptic number.

20002101100011 is a deficient number, since it is larger than the sum of its proper divisors (9154886233749).

20002101100011 is a wasteful number, since it uses less digits than its factorization.

20002101100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20389501746 (or 20389501743 counting only the distinct ones).

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

Adding to 20002101100011 its reverse (11000110120002), we get a palindrome (31002211220013).

The spelling of 20002101100011 in words is "twenty trillion, two billion, one hundred one million, one hundred thousand, eleven".