102101200112121 has 64 divisors (see below), whose sum is σ = 166150903726080. Its totient is φ = 54510824954880.

The previous prime is 102101200112089. The next prime is 102101200112189. The reversal of 102101200112121 is 121211002101201.

It is a happy number.

It is not a de Polignac number, because 102101200112121 - 2⁵ = 102101200112089 is a prime.

It is a super-6 number, since 6×102101200112121⁶ (a number of 85 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102101200112121.

It is not an unprimeable number, because it can be changed into a prime (102101200122121) 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, 288426385 + ... + 288780161.

It is an arithmetic number, because the mean of its divisors is an integer number (2596107870720).

Almost surely, 2^{102101200112121} is an apocalyptic number.

It is an amenable number.

102101200112121 is a deficient number, since it is larger than the sum of its proper divisors (64049703613959).

102101200112121 is a wasteful number, since it uses less digits than its factorization.

102101200112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369134.

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

Adding to 102101200112121 its reverse (121211002101201), we get a palindrome (223312202213322).

The spelling of 102101200112121 in words is "one hundred two trillion, one hundred one billion, two hundred million, one hundred twelve thousand, one hundred twenty-one".