10002101001121 has 8 divisors (see below), whose sum is σ = 10346858106624. Its totient is φ = 9658725688560.

The previous prime is 10002101001047. The next prime is 10002101001163. The reversal of 10002101001121 is 12110010120001.

10002101001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10002101001121 - 2¹⁹ = 10002100476833 is a prime.

It is a super-3 number, since 3×10002101001121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002101001098 and 10002101001107.

It is not an unprimeable number, because it can be changed into a prime (10002101001181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345433510 + ... + 345462463.

It is an arithmetic number, because the mean of its divisors is an integer number (1293357263328).

Almost surely, 2^{10002101001121} is an apocalyptic number.

It is an amenable number.

10002101001121 is a deficient number, since it is larger than the sum of its proper divisors (344757105503).

10002101001121 is an equidigital number, since it uses as much as digits as its factorization.

10002101001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690896471.

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

Adding to 10002101001121 its reverse (12110010120001), we get a palindrome (22112111121122).

The spelling of 10002101001121 in words is "ten trillion, two billion, one hundred one million, one thousand, one hundred twenty-one".