10002121002110 has 16 divisors (see below), whose sum is σ = 18003899420496. Its totient is φ = 4000830263808.

The previous prime is 10002121001987. The next prime is 10002121002113. The reversal of 10002121002110 is 1120012120001.

It is a junction number, because it is equal to n+sod(n) for n = 10002121002091 and 10002121002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002121002113) 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, 174257 + ... + 4476003.

It is an arithmetic number, because the mean of its divisors is an integer number (1125243713781).

Almost surely, 2^{10002121002110} is an apocalyptic number.

10002121002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002121002110 is a deficient number, since it is larger than the sum of its proper divisors (8001778418386).

10002121002110 is a wasteful number, since it uses less digits than its factorization.

10002121002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534267.

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

Adding to 10002121002110 its reverse (1120012120001), we get a palindrome (11122133122111).

The spelling of 10002121002110 in words is "ten trillion, two billion, one hundred twenty-one million, two thousand, one hundred ten".