102121102000001 has 12 divisors (see below), whose sum is σ = 118794101557248. Its totient is φ = 87532250401512.

The previous prime is 102121101999977. The next prime is 102121102000039. The reversal of 102121102000001 is 100000201121201.

It is not a de Polignac number, because 102121102000001 - 2³⁸ = 101846224093057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102121102000201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59687480 + ... + 61374566.

It is an arithmetic number, because the mean of its divisors is an integer number (9899508463104).

Almost surely, 2^{102121102000001} is an apocalyptic number.

It is an amenable number.

102121102000001 is a deficient number, since it is larger than the sum of its proper divisors (16672999557247).

102121102000001 is a wasteful number, since it uses less digits than its factorization.

102121102000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922428 (or 2922421 counting only the distinct ones).

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

Adding to 102121102000001 its reverse (100000201121201), we get a palindrome (202121303121202).

The spelling of 102121102000001 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred two million, one", and thus it is an aban number.