1012102212121 has 32 divisors (see below), whose sum is σ = 1390509001728. Its totient is φ = 711055679040.

The previous prime is 1012102212089. The next prime is 1012102212193. The reversal of 1012102212121 is 1212122012101.

It is not a de Polignac number, because 1012102212121 - 2⁵ = 1012102212089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012102212095 and 1012102212104.

It is not an unprimeable number, because it can be changed into a prime (1012102212421) 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 31 ways as a sum of consecutive naturals, for example, 11713831 + ... + 11799916.

It is an arithmetic number, because the mean of its divisors is an integer number (43453406304).

Almost surely, 2^{1012102212121} is an apocalyptic number.

1012102212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012102212121 is a deficient number, since it is larger than the sum of its proper divisors (378406789607).

1012102212121 is a wasteful number, since it uses less digits than its factorization.

1012102212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23513821.

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

Adding to 1012102212121 its reverse (1212122012101), we get a palindrome (2224224224222).

The spelling of 1012102212121 in words is "one trillion, twelve billion, one hundred two million, two hundred twelve thousand, one hundred twenty-one".