10002001011121 has 4 divisors (see below), whose sum is σ = 11430858298432. Its totient is φ = 8573143723812.

The previous prime is 10002001011083. The next prime is 10002001011221. The reversal of 10002001011121 is 12111010020001.

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 10002001011121 - 2⁹ = 10002001010609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002001011098 and 10002001011107.

It is not an unprimeable number, because it can be changed into a prime (10002001011221) 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, 714428643645 + ... + 714428643658.

It is an arithmetic number, because the mean of its divisors is an integer number (2857714574608).

Almost surely, 2^{10002001011121} is an apocalyptic number.

It is an amenable number.

10002001011121 is a deficient number, since it is larger than the sum of its proper divisors (1428857287311).

10002001011121 is an equidigital number, since it uses as much as digits as its factorization.

10002001011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428857287310.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10002001011121 its reverse (12111010020001), we get a palindrome (22113011031122).

The spelling of 10002001011121 in words is "ten trillion, two billion, one million, eleven thousand, one hundred twenty-one".