102210011100121 has 8 divisors (see below), whose sum is σ = 104331445947144. Its totient is φ = 100102958862720.

The previous prime is 102210011100103. The next prime is 102210011100163. The reversal of 102210011100121 is 121001110012201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4310859740121 + 97899151360000 = 2076261^2 + 9894400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102210011100121 - 2³⁵ = 102175651361753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102210011103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3595638046 + ... + 3595666471.

It is an arithmetic number, because the mean of its divisors is an integer number (13041430743393).

Almost surely, 2^{102210011100121} is an apocalyptic number.

It is an amenable number.

102210011100121 is a deficient number, since it is larger than the sum of its proper divisors (2121434847023).

102210011100121 is an equidigital number, since it uses as much as digits as its factorization.

102210011100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191304811.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102210011100121 its reverse (121001110012201), we get a palindrome (223211121112322).

The spelling of 102210011100121 in words is "one hundred two trillion, two hundred ten billion, eleven million, one hundred thousand, one hundred twenty-one".