10100002120121 has 8 divisors (see below), whose sum is σ = 10248343628040. Its totient is φ = 9952435242112.

The previous prime is 10100002120097. The next prime is 10100002120163. The reversal of 10100002120121 is 12102120000101.

It can be written as a sum of positive squares in 4 ways, for example, as 887107794496 + 9212894325625 = 941864^2 + 3035275^2 .

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 10100002120121 - 2³⁴ = 10082822250937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100002129121) 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, 193631210 + ... + 193683363.

It is an arithmetic number, because the mean of its divisors is an integer number (1281042953505).

Almost surely, 2^{10100002120121} is an apocalyptic number.

It is an amenable number.

10100002120121 is a deficient number, since it is larger than the sum of its proper divisors (148341507919).

10100002120121 is an equidigital number, since it uses as much as digits as its factorization.

10100002120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387314955.

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

Adding to 10100002120121 its reverse (12102120000101), we get a palindrome (22202122120222).

The spelling of 10100002120121 in words is "ten trillion, one hundred billion, two million, one hundred twenty thousand, one hundred twenty-one".