102121102120101 has 16 divisors (see below), whose sum is σ = 137800739764800. Its totient is φ = 67262314790528.

The previous prime is 102121102120061. The next prime is 102121102120153. The reversal of 102121102120101 is 101021201121201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102121102120101 - 2¹⁰ = 102121102119077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121102110101) 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, 151560606 + ... + 152232911.

It is an arithmetic number, because the mean of its divisors is an integer number (8612546235300).

Almost surely, 2^{102121102120101} is an apocalyptic number.

It is an amenable number.

102121102120101 is a deficient number, since it is larger than the sum of its proper divisors (35679637644699).

102121102120101 is a wasteful number, since it uses less digits than its factorization.

102121102120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303794868.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102121102120101 its reverse (101021201121201), we get a palindrome (203142303241302).

The spelling of 102121102120101 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred two million, one hundred twenty thousand, one hundred one".