102210212101121 has 4 divisors (see below), whose sum is σ = 108222577518852. Its totient is φ = 96197846683392.

The previous prime is 102210212101103. The next prime is 102210212101133. The reversal of 102210212101121 is 121101212012201.

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 34940098330225 + 67270113770896 = 5911015^2 + 8201836^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210212101121 - 2³⁴ = 102193032231937 is a prime.

It is a super-2 number, since 2×102210212101121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 6012365417713 = 102210212101121 / (1 + 0 + 2 + 2 + 1 + 0 + 2 + 1 + 2 + 1 + 0 + 1 + 1 + 2 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102210212101121.

It is not an unprimeable number, because it can be changed into a prime (102210212103121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3006182708840 + ... + 3006182708873.

It is an arithmetic number, because the mean of its divisors is an integer number (27055644379713).

Almost surely, 2^{102210212101121} is an apocalyptic number.

It is an amenable number.

102210212101121 is a deficient number, since it is larger than the sum of its proper divisors (6012365417731).

102210212101121 is an equidigital number, since it uses as much as digits as its factorization.

102210212101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012365417730.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102210212101121 its reverse (121101212012201), we get a palindrome (223311424113322).

The spelling of 102210212101121 in words is "one hundred two trillion, two hundred ten billion, two hundred twelve million, one hundred one thousand, one hundred twenty-one".