2002210121121 has 64 divisors (see below), whose sum is σ = 3326094213120. Its totient is φ = 1045899328320.

The previous prime is 2002210121113. The next prime is 2002210121123. The reversal of 2002210121121 is 1211210122002.

It is not a de Polignac number, because 2002210121121 - 2³ = 2002210121113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002210121121.

It is not an unprimeable number, because it can be changed into a prime (2002210121123) 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 63 ways as a sum of consecutive naturals, for example, 579580 + ... + 2083346.

It is an arithmetic number, because the mean of its divisors is an integer number (51970222080).

Almost surely, 2^{2002210121121} is an apocalyptic number.

2002210121121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002210121121 is a deficient number, since it is larger than the sum of its proper divisors (1323884091999).

2002210121121 is a wasteful number, since it uses less digits than its factorization.

2002210121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503914.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2002210121121 its reverse (1211210122002), we get a palindrome (3213420243123).

The spelling of 2002210121121 in words is "two trillion, two billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty-one".