102110121021012 has 48 divisors (see below), whose sum is σ = 256643570094912. Its totient is φ = 31411254274560.

The previous prime is 102110121021011. The next prime is 102110121021043. The reversal of 102110121021012 is 210120121011201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102110121020982 and 102110121021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110121021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74784814 + ... + 76137957.

It is an arithmetic number, because the mean of its divisors is an integer number (5346741043644).

Almost surely, 2^{102110121021012} is an apocalyptic number.

102110121021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102110121021012 is an abundant number, since it is smaller than the sum of its proper divisors (154533449073900).

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

102110121021012 is a wasteful number, since it uses less digits than its factorization.

102110121021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150927128 (or 150927126 counting only the distinct ones).

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

Adding to 102110121021012 its reverse (210120121011201), we get a palindrome (312230242032213).

The spelling of 102110121021012 in words is "one hundred two trillion, one hundred ten billion, one hundred twenty-one million, twenty-one thousand, twelve".