10102121021112 has 64 divisors (see below), whose sum is σ = 26365864932000. Its totient is φ = 3221429266944.

The previous prime is 10102121021087. The next prime is 10102121021131. The reversal of 10102121021112 is 21112012120101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10102121021091 and 10102121021100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66504603 + ... + 66656330.

Almost surely, 2^{10102121021112} is an apocalyptic number.

10102121021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102121021112 is an abundant number, since it is smaller than the sum of its proper divisors (16263743910888).

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

10102121021112 is a wasteful number, since it uses less digits than its factorization.

10102121021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133161080 (or 133161076 counting only the distinct ones).

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

Adding to 10102121021112 its reverse (21112012120101), we get a palindrome (31214133141213).

The spelling of 10102121021112 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, twenty-one thousand, one hundred twelve".