1002122121101 has 16 divisors (see below), whose sum is σ = 1034738073600. Its totient is φ = 969947839728.

The previous prime is 1002122121083. The next prime is 1002122121103. The reversal of 1002122121101 is 1011212212001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002122121101 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 (1002122121103) 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 15 ways as a sum of consecutive naturals, for example, 4472420 + ... + 4691138.

It is an arithmetic number, because the mean of its divisors is an integer number (64671129600).

Almost surely, 2^{1002122121101} is an apocalyptic number.

It is an amenable number.

1002122121101 is a deficient number, since it is larger than the sum of its proper divisors (32615952499).

1002122121101 is a wasteful number, since it uses less digits than its factorization.

1002122121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219728.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1002122121101 its reverse (1011212212001), we get a palindrome (2013334333102).

The spelling of 1002122121101 in words is "one trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".