101020121021112 has 32 divisors (see below), whose sum is σ = 255747141830400. Its totient is φ = 33247128436704.

The previous prime is 101020121021111. The next prime is 101020121021147. The reversal of 101020121021112 is 211120121020101.

It is a happy number.

It is a super-2 number, since 2×101020121021112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020121021091 and 101020121021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020121021111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26640325378 + ... + 26640329169.

It is an arithmetic number, because the mean of its divisors is an integer number (7992098182200).

Almost surely, 2^{101020121021112} is an apocalyptic number.

101020121021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020121021112 is an abundant number, since it is smaller than the sum of its proper divisors (154727020809288).

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

101020121021112 is a wasteful number, since it uses less digits than its factorization.

101020121021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53280654635 (or 53280654631 counting only the distinct ones).

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

Adding to 101020121021112 its reverse (211120121020101), we get a palindrome (312140242041213).

The spelling of 101020121021112 in words is "one hundred one trillion, twenty billion, one hundred twenty-one million, twenty-one thousand, one hundred twelve".