10002112020121 has 8 divisors (see below), whose sum is σ = 10771563587400. Its totient is φ = 9232668786432.

The previous prime is 10002112020119. The next prime is 10002112020139. The reversal of 10002112020121 is 12102021120001.

10002112020121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6015560696896 + 3986551323225 = 2452664^2 + 1996635^2 .

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

It is not a de Polignac number, because 10002112020121 - 2¹ = 10002112020119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002112020191) 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, 530871 + ... + 4504003.

It is an arithmetic number, because the mean of its divisors is an integer number (1346445448425).

Almost surely, 2^{10002112020121} is an apocalyptic number.

It is an amenable number.

10002112020121 is a deficient number, since it is larger than the sum of its proper divisors (769451567279).

10002112020121 is a wasteful number, since it uses less digits than its factorization.

10002112020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166795.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002112020121 its reverse (12102021120001), we get a palindrome (22104133140122).

The spelling of 10002112020121 in words is "ten trillion, two billion, one hundred twelve million, twenty thousand, one hundred twenty-one".