102121011102201 has 64 divisors (see below), whose sum is σ = 170672903331840. Its totient is φ = 52879420500480.

The previous prime is 102121011102199. The next prime is 102121011102203. The reversal of 102121011102201 is 102201110121201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102121011102199) and next prime (102121011102203).

It is not a de Polignac number, because 102121011102201 - 2¹ = 102121011102199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102121011102203) 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, 6789741 + ... + 15822218.

It is an arithmetic number, because the mean of its divisors is an integer number (2666764114560).

Almost surely, 2^{102121011102201} is an apocalyptic number.

It is an amenable number.

102121011102201 is a deficient number, since it is larger than the sum of its proper divisors (68551892229639).

102121011102201 is a wasteful number, since it uses less digits than its factorization.

102121011102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22612286.

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

Adding to 102121011102201 its reverse (102201110121201), we get a palindrome (204322121223402).

The spelling of 102121011102201 in words is "one hundred two trillion, one hundred twenty-one billion, eleven million, one hundred two thousand, two hundred one".