102212121021001 has 4 divisors (see below), whose sum is σ = 102217958728900. Its totient is φ = 102206283313104.

The previous prime is 102212121020987. The next prime is 102212121021019. The reversal of 102212121021001 is 100120121212201.

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 9911446580025 + 92300674440976 = 3148245^2 + 9607324^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212121021001 - 2⁹ = 102212121020489 is a prime.

It is a super-2 number, since 2×102212121021001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212121021041) 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, 2918827686 + ... + 2918862703.

It is an arithmetic number, because the mean of its divisors is an integer number (25554489682225).

Almost surely, 2^{102212121021001} is an apocalyptic number.

It is an amenable number.

102212121021001 is a deficient number, since it is larger than the sum of its proper divisors (5837707899).

102212121021001 is an equidigital number, since it uses as much as digits as its factorization.

102212121021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837707898.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102212121021001 its reverse (100120121212201), we get a palindrome (202332242233202).

The spelling of 102212121021001 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-one million, twenty-one thousand, one".