20102102021001 has 64 divisors (see below), whose sum is σ = 35988639160320. Its totient is φ = 9638925143040.

The previous prime is 20102102020991. The next prime is 20102102021059. The reversal of 20102102021001 is 10012020120102.

It is not a de Polignac number, because 20102102021001 - 2⁵ = 20102102020969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20102102021401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70346830 + ... + 70632008.

It is an arithmetic number, because the mean of its divisors is an integer number (562322486880).

Almost surely, 2^{20102102021001} is an apocalyptic number.

20102102021001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20102102021001 is a deficient number, since it is larger than the sum of its proper divisors (15886537139319).

20102102021001 is a wasteful number, since it uses less digits than its factorization.

20102102021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308686.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20102102021001 its reverse (10012020120102), we get a palindrome (30114122141103).

The spelling of 20102102021001 in words is "twenty trillion, one hundred two billion, one hundred two million, twenty-one thousand, one".