101021122011012 has 24 divisors (see below), whose sum is σ = 269389658696256. Its totient is φ = 28863177717408.

The previous prime is 101021122010993. The next prime is 101021122011067. The reversal of 101021122011012 is 210110221120101.

It is a happy number.

101021122011012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101021122010982 and 101021122011000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 601316202363 + ... + 601316202530.

It is an arithmetic number, because the mean of its divisors is an integer number (11224569112344).

Almost surely, 2^{101021122011012} is an apocalyptic number.

101021122011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021122011012 is an abundant number, since it is smaller than the sum of its proper divisors (168368536685244).

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

101021122011012 is a wasteful number, since it uses less digits than its factorization.

101021122011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202632404907 (or 1202632404905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101021122011012 its reverse (210110221120101), we get a palindrome (311131343131113).

The spelling of 101021122011012 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, eleven thousand, twelve".