1000002122101 has 64 divisors (see below), whose sum is σ = 1089474527232. Its totient is φ = 916090560000.

The previous prime is 1000002122087. The next prime is 1000002122117. The reversal of 1000002122101 is 1012212000001.

It is a cyclic number.

It is not a de Polignac number, because 1000002122101 - 2⁹ = 1000002121589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000002122401) 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, 2518896835 + ... + 2518897231.

It is an arithmetic number, because the mean of its divisors is an integer number (17023039488).

Almost surely, 2^{1000002122101} is an apocalyptic number.

It is an amenable number.

1000002122101 is a deficient number, since it is larger than the sum of its proper divisors (89472405131).

1000002122101 is a wasteful number, since it uses less digits than its factorization.

1000002122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000002122101 its reverse (1012212000001), we get a palindrome (2012214122102).

The spelling of 1000002122101 in words is "one trillion, two million, one hundred twenty-two thousand, one hundred one".