20101021010001 has 12 divisors (see below), whose sum is σ = 29301182513460. Its totient is φ = 13277738648160.

The previous prime is 20101021009913. The next prime is 20101021010029. The reversal of 20101021010001 is 10001012010102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16605616850001 + 3495404160000 = 4074999^2 + 1869600^2 .

It is not a de Polignac number, because 20101021010001 - 2⁷ = 20101021009873 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20101021010701) 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, 10245167730 + ... + 10245169691.

It is an arithmetic number, because the mean of its divisors is an integer number (2441765209455).

Almost surely, 2^{20101021010001} is an apocalyptic number.

It is an amenable number.

20101021010001 is a deficient number, since it is larger than the sum of its proper divisors (9200161503459).

20101021010001 is a wasteful number, since it uses less digits than its factorization.

20101021010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20490337536 (or 20490337533 counting only the distinct ones).

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

Adding to 20101021010001 its reverse (10001012010102), we get a palindrome (30102033020103).

The spelling of 20101021010001 in words is "twenty trillion, one hundred one billion, twenty-one million, ten thousand, one".