10002121020001 has 4 divisors (see below), whose sum is σ = 10911404749104. Its totient is φ = 9092837290900.

The previous prime is 10002121019959. The next prime is 10002121020007. The reversal of 10002121020001 is 10002012120001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10002121020001 - 2¹⁹ = 10002120495713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002121020001.

It is not an unprimeable number, because it can be changed into a prime (10002121020007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454641864535 + ... + 454641864556.

It is an arithmetic number, because the mean of its divisors is an integer number (2727851187276).

Almost surely, 2^{10002121020001} is an apocalyptic number.

10002121020001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002121020001 is a deficient number, since it is larger than the sum of its proper divisors (909283729103).

10002121020001 is an equidigital number, since it uses as much as digits as its factorization.

10002121020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909283729102.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002121020001 its reverse (10002012120001), we get a palindrome (20004133140002).

The spelling of 10002121020001 in words is "ten trillion, two billion, one hundred twenty-one million, twenty thousand, one".