2002210100121 has 32 divisors (see below), whose sum is σ = 3524134514688. Its totient is φ = 978926250240.

The previous prime is 2002210100117. The next prime is 2002210100201. The reversal of 2002210100121 is 1210010122002.

It is not a de Polignac number, because 2002210100121 - 2² = 2002210100117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002210100097 and 2002210100106.

It is not an unprimeable number, because it can be changed into a prime (2002210100521) 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, 254924785 + ... + 254932638.

It is an arithmetic number, because the mean of its divisors is an integer number (110129203584).

Almost surely, 2^{2002210100121} is an apocalyptic number.

2002210100121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002210100121 is a deficient number, since it is larger than the sum of its proper divisors (1521924414567).

2002210100121 is a wasteful number, since it uses less digits than its factorization.

2002210100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509857461.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002210100121 its reverse (1210010122002), we get a palindrome (3212220222123).

The spelling of 2002210100121 in words is "two trillion, two billion, two hundred ten million, one hundred thousand, one hundred twenty-one".