10102212212121 has 12 divisors (see below), whose sum is σ = 14596889115172. Its totient is φ = 6732590537376.

The previous prime is 10102212212119. The next prime is 10102212212149. The reversal of 10102212212121 is 12121221220101.

10102212212121 is a `hidden beast` number, since 1 + 0 + 10 + 221 + 221 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3776162265225 + 6326049946896 = 1943235^2 + 2515164^2 .

It is not a de Polignac number, because 10102212212121 - 2¹ = 10102212212119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102212212094 and 10102212212103.

It is not an unprimeable number, because it can be changed into a prime (10102212214121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184771486 + ... + 184826151.

Almost surely, 2^{10102212212121} is an apocalyptic number.

It is an amenable number.

10102212212121 is a deficient number, since it is larger than the sum of its proper divisors (4494676903051).

10102212212121 is a wasteful number, since it uses less digits than its factorization.

10102212212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369600680 (or 369600677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10102212212121 its reverse (12121221220101), we get a palindrome (22223433432222).

The spelling of 10102212212121 in words is "ten trillion, one hundred two billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty-one".