2010100210121 has 32 divisors (see below), whose sum is σ = 2125506458880. Its totient is φ = 1898154720000.

The previous prime is 2010100210099. The next prime is 2010100210123. The reversal of 2010100210121 is 1210120010102.

It is a cyclic number.

It is not a de Polignac number, because 2010100210121 - 2²⁶ = 2010033101257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010100210123) 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 31 ways as a sum of consecutive naturals, for example, 287276795 + ... + 287283791.

It is an arithmetic number, because the mean of its divisors is an integer number (66422076840).

Almost surely, 2^{2010100210121} is an apocalyptic number.

It is an amenable number.

2010100210121 is a deficient number, since it is larger than the sum of its proper divisors (115406248759).

2010100210121 is a wasteful number, since it uses less digits than its factorization.

2010100210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985.

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

Adding to 2010100210121 its reverse (1210120010102), we get a palindrome (3220220220223).

The spelling of 2010100210121 in words is "two trillion, ten billion, one hundred million, two hundred ten thousand, one hundred twenty-one".