101021020122012 has 48 divisors (see below), whose sum is σ = 235785155773440. Its totient is φ = 33663754409472.

The previous prime is 101021020121999. The next prime is 101021020122017. The reversal of 101021020122012 is 210221020120101.

It is a junction number, because it is equal to n+sod(n) for n = 101021020121982 and 101021020122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021020122017) 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 15 ways as a sum of consecutive naturals, for example, 664671564 + ... + 664823532.

It is an arithmetic number, because the mean of its divisors is an integer number (4912190745280).

Almost surely, 2^{101021020122012} is an apocalyptic number.

101021020122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021020122012 is an abundant number, since it is smaller than the sum of its proper divisors (134764135651428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101021020122012 is a wasteful number, since it uses less digits than its factorization.

101021020122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167930 (or 167928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101021020122012 its reverse (210221020120101), we get a palindrome (311242040242113).

The spelling of 101021020122012 in words is "one hundred one trillion, twenty-one billion, twenty million, one hundred twenty-two thousand, twelve".