1002102200121 has 64 divisors (see below), whose sum is σ = 1542240460800. Its totient is φ = 572406912000.

The previous prime is 1002102200087. The next prime is 1002102200167. The reversal of 1002102200121 is 1210022012001.

It is not a de Polignac number, because 1002102200121 - 2¹¹ = 1002102198073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002102200097 and 1002102200106.

It is not an unprimeable number, because it can be changed into a prime (1002102270121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101207271 + ... + 101217171.

It is an arithmetic number, because the mean of its divisors is an integer number (24097507200).

Almost surely, 2^{1002102200121} is an apocalyptic number.

1002102200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002102200121 is a deficient number, since it is larger than the sum of its proper divisors (540138260679).

1002102200121 is a wasteful number, since it uses less digits than its factorization.

1002102200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750.

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

Adding to 1002102200121 its reverse (1210022012001), we get a palindrome (2212124212122).

The spelling of 1002102200121 in words is "one trillion, two billion, one hundred two million, two hundred thousand, one hundred twenty-one".