2010100121121 has 8 divisors (see below), whose sum is σ = 2766589414144. Its totient is φ = 1296838787760.

The previous prime is 2010100121119. The next prime is 2010100121153. The reversal of 2010100121121 is 1211210010102.

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

It is not a de Polignac number, because 2010100121121 - 2¹ = 2010100121119 is a prime.

It is a super-3 number, since 3×2010100121121³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010100121097 and 2010100121106.

It is not an unprimeable number, because it can be changed into a prime (2010100121191) 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, 10806989806 + ... + 10806989991.

It is an arithmetic number, because the mean of its divisors is an integer number (345823676768).

Almost surely, 2^{2010100121121} is an apocalyptic number.

It is an amenable number.

2010100121121 is a deficient number, since it is larger than the sum of its proper divisors (756489293023).

2010100121121 is a wasteful number, since it uses less digits than its factorization.

2010100121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21613979831.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2010100121121 its reverse (1211210010102), we get a palindrome (3221310131223).

The spelling of 2010100121121 in words is "two trillion, ten billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-one".