102110212010121 has 64 divisors (see below), whose sum is σ = 164203111538688. Its totient is φ = 55222906975488.

The previous prime is 102110212010069. The next prime is 102110212010173. The reversal of 102110212010121 is 121010212011201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102110212010069) and next prime (102110212010173).

It is not a de Polignac number, because 102110212010121 - 2¹⁹ = 102110211485833 is a prime.

It is a super-2 number, since 2×102110212010121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102110212010121.

It is not an unprimeable number, because it can be changed into a prime (102110212030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2624350 + ... + 14529543.

It is an arithmetic number, because the mean of its divisors is an integer number (2565673617792).

Almost surely, 2^{102110212010121} is an apocalyptic number.

It is an amenable number.

102110212010121 is a deficient number, since it is larger than the sum of its proper divisors (62092899528567).

102110212010121 is a wasteful number, since it uses less digits than its factorization.

102110212010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17154150.

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

Adding to 102110212010121 its reverse (121010212011201), we get a palindrome (223120424021322).

The spelling of 102110212010121 in words is "one hundred two trillion, one hundred ten billion, two hundred twelve million, ten thousand, one hundred twenty-one".