10002102122121 has 8 divisors (see below), whose sum is σ = 13441145109504. Its totient is φ = 6615563608080.

The previous prime is 10002102122071. The next prime is 10002102122161. The reversal of 10002102122121 is 12122120120001.

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

It is not a de Polignac number, because 10002102122121 - 2⁷ = 10002102121993 is a prime.

It is a super-2 number, since 2×10002102122121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10002102122121.

It is not an unprimeable number, because it can be changed into a prime (10002102122161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13126117890 + ... + 13126118651.

It is an arithmetic number, because the mean of its divisors is an integer number (1680143138688).

Almost surely, 2^{10002102122121} is an apocalyptic number.

It is an amenable number.

10002102122121 is a deficient number, since it is larger than the sum of its proper divisors (3439042987383).

10002102122121 is a wasteful number, since it uses less digits than its factorization.

10002102122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26252236671.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10002102122121 its reverse (12122120120001), we get a palindrome (22124222242122).

The spelling of 10002102122121 in words is "ten trillion, two billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-one".