20010000101 has 48 divisors (see below), whose sum is σ = 25740900864. Its totient is φ = 15410497536.

The previous prime is 20010000097. The next prime is 20010000133. The reversal of 20010000101 is 10100001002.

It is a happy number.

It is not a de Polignac number, because 20010000101 - 2² = 20010000097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5776496 + ... + 5779958.

It is an arithmetic number, because the mean of its divisors is an integer number (536268768).

Almost surely, 2^20010000101 is an apocalyptic number.

It is an amenable number.

20010000101 is a deficient number, since it is larger than the sum of its proper divisors (5730900763).

20010000101 is a wasteful number, since it uses less digits than its factorization.

20010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 20010000101 its reverse (10100001002), we get a palindrome (30110001103).

Subtracting from 20010000101 its reverse (10100001002), we obtain a palindrome (9909999099).

The spelling of 20010000101 in words is "twenty billion, ten million, one hundred one", and thus it is an aban number.