102110121011201 has 16 divisors (see below), whose sum is σ = 104867263163520. Its totient is φ = 99387534449280.

The previous prime is 102110121011183. The next prime is 102110121011221.

102110121011201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102110121011201 - 2³⁰ = 102109047269377 is a prime.

It is a super-2 number, since 2×102110121011201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102110121011221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33424661 + ... + 36351453.

It is an arithmetic number, because the mean of its divisors is an integer number (6554203947720).

Almost surely, 2^{102110121011201} is an apocalyptic number.

It is an amenable number.

102110121011201 is a deficient number, since it is larger than the sum of its proper divisors (2757142152319).

102110121011201 is a wasteful number, since it uses less digits than its factorization.

102110121011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932696.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 102110121011201 in words is "one hundred two trillion, one hundred ten billion, one hundred twenty-one million, eleven thousand, two hundred one".