102200002122121 has 4 divisors (see below), whose sum is σ = 108211766952852. Its totient is φ = 96188237291392.

The previous prime is 102200002122103. The next prime is 102200002122137. The reversal of 102200002122121 is 121221200002201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 62675896409721 + 39524105712400 = 7916811^2 + 6286820^2 .

It is not a de Polignac number, because 102200002122121 - 2²⁵ = 102199968567689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200002122095 and 102200002122104.

It is not an unprimeable number, because it can be changed into a prime (102200002128121) 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 3 ways as a sum of consecutive naturals, for example, 3005882415340 + ... + 3005882415373.

It is an arithmetic number, because the mean of its divisors is an integer number (27052941738213).

Almost surely, 2^{102200002122121} is an apocalyptic number.

It is an amenable number.

102200002122121 is a deficient number, since it is larger than the sum of its proper divisors (6011764830731).

102200002122121 is an equidigital number, since it uses as much as digits as its factorization.

102200002122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011764830730.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102200002122121 its reverse (121221200002201), we get a palindrome (223421202124322).

The spelling of 102200002122121 in words is "one hundred two trillion, two hundred billion, two million, one hundred twenty-two thousand, one hundred twenty-one".