10002121002101 has 4 divisors (see below), whose sum is σ = 10002922017312. Its totient is φ = 10001319986892.

The previous prime is 10002121001987. The next prime is 10002121002113. The reversal of 10002121002101 is 10120012120001.

10002121002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a cyclic number.

It is not a de Polignac number, because 10002121002101 - 2⁴² = 5604074490997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002121002131) 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, 400488875 + ... + 400513848.

It is an arithmetic number, because the mean of its divisors is an integer number (2500730504328).

Almost surely, 2^{10002121002101} is an apocalyptic number.

It is an amenable number.

10002121002101 is a deficient number, since it is larger than the sum of its proper divisors (801015211).

10002121002101 is an equidigital number, since it uses as much as digits as its factorization.

10002121002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801015210.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002121002101 its reverse (10120012120001), we get a palindrome (20122133122102).

The spelling of 10002121002101 in words is "ten trillion, two billion, one hundred twenty-one million, two thousand, one hundred one".