10002101011121 has 4 divisors (see below), whose sum is σ = 10099208788032. Its totient is φ = 9904993234212.

The previous prime is 10002101011087. The next prime is 10002101011141. The reversal of 10002101011121 is 12111010120001.

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 10002101011121 - 2¹⁴ = 10002100994737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002101011141) 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, 48553888301 + ... + 48553888506.

It is an arithmetic number, because the mean of its divisors is an integer number (2524802197008).

Almost surely, 2^{10002101011121} is an apocalyptic number.

It is an amenable number.

10002101011121 is a deficient number, since it is larger than the sum of its proper divisors (97107776911).

10002101011121 is an equidigital number, since it uses as much as digits as its factorization.

10002101011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97107776910.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10002101011121 its reverse (12111010120001), we get a palindrome (22113111131122).

The spelling of 10002101011121 in words is "ten trillion, two billion, one hundred one million, eleven thousand, one hundred twenty-one".