1002121002101 has 16 divisors (see below), whose sum is σ = 1028127679488. Its totient is φ = 976190073600.

The previous prime is 1002121002053. The next prime is 1002121002143. The reversal of 1002121002101 is 1012001212001.

It is a cyclic number.

It is not a de Polignac number, because 1002121002101 - 2⁶ = 1002121002037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002121002191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78820121 + ... + 78832833.

It is an arithmetic number, because the mean of its divisors is an integer number (64257979968).

Almost surely, 2^{1002121002101} is an apocalyptic number.

It is an amenable number.

1002121002101 is a deficient number, since it is larger than the sum of its proper divisors (26006677387).

1002121002101 is a wasteful number, since it uses less digits than its factorization.

1002121002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15532.

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

Adding to 1002121002101 its reverse (1012001212001), we get a palindrome (2014122214102).

The spelling of 1002121002101 in words is "one trillion, two billion, one hundred twenty-one million, two thousand, one hundred one".