102000122202121 has 64 divisors (see below), whose sum is σ = 121801421855232. Its totient is φ = 84199449600000.

The previous prime is 102000122202079. The next prime is 102000122202169. The reversal of 102000122202121 is 121202221000201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102000122202121 - 2⁹ = 102000122201609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102000122202095 and 102000122202104.

It is not an unprimeable number, because it can be changed into a prime (102000122209121) 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, 5742917881 + ... + 5742935641.

It is an arithmetic number, because the mean of its divisors is an integer number (1903147216488).

Almost surely, 2^{102000122202121} is an apocalyptic number.

102000122202121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102000122202121 is a deficient number, since it is larger than the sum of its proper divisors (19801299653111).

102000122202121 is a wasteful number, since it uses less digits than its factorization.

102000122202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20434.

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

Adding to 102000122202121 its reverse (121202221000201), we get a palindrome (223202343202322).

The spelling of 102000122202121 in words is "one hundred two trillion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-one".