10200012002121 has 8 divisors (see below), whose sum is σ = 13642918262784. Its totient is φ = 6778556871440.

The previous prime is 10200012002053. The next prime is 10200012002129. The reversal of 10200012002121 is 12120021000201.

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 10200012002121 - 2¹³ = 10200011993929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200012002097 and 10200012002106.

It is not an unprimeable number, because it can be changed into a prime (10200012002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5362781385 + ... + 5362783286.

It is an arithmetic number, because the mean of its divisors is an integer number (1705364782848).

Almost surely, 2^{10200012002121} is an apocalyptic number.

It is an amenable number.

10200012002121 is a deficient number, since it is larger than the sum of its proper divisors (3442906260663).

10200012002121 is a wasteful number, since it uses less digits than its factorization.

10200012002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10725564991.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200012002121 its reverse (12120021000201), we get a palindrome (22320033002322).

The spelling of 10200012002121 in words is "ten trillion, two hundred billion, twelve million, two thousand, one hundred twenty-one".