20102100101001 has 20 divisors (see below), whose sum is σ = 30107468024832. Its totient is φ = 13366409446008.

The previous prime is 20102100100963. The next prime is 20102100101113. The reversal of 20102100101001 is 10010100120102.

It is a happy number.

It is not a de Polignac number, because 20102100101001 - 2²¹ = 20102098003849 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (20102100100001) 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 19 ways as a sum of consecutive naturals, for example, 323956021 + ... + 324018066.

Almost surely, 2^{20102100101001} is an apocalyptic number.

It is an amenable number.

20102100101001 is a deficient number, since it is larger than the sum of its proper divisors (10005367923831).

20102100101001 is an equidigital number, since it uses as much as digits as its factorization.

20102100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647974482 (or 647974473 counting only the distinct ones).

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

Adding to 20102100101001 its reverse (10010100120102), we get a palindrome (30112200221103).

It can be divided in two parts, 20102 and 100101001, that multiplied together give a palindrome (2012230322102).

The spelling of 20102100101001 in words is "twenty trillion, one hundred two billion, one hundred million, one hundred one thousand, one".