102021012002112 has 224 divisors, whose sum is σ = 313597916424960. Its totient is φ = 28666570014720.

The previous prime is 102021012002111. The next prime is 102021012002131. The reversal of 102021012002112 is 211200210120201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 102021012002091 and 102021012002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021012002111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548297958 + ... + 548483994.

Almost surely, 2^{102021012002112} is an apocalyptic number.

102021012002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021012002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156798958212480).

102021012002112 is an abundant number, since it is smaller than the sum of its proper divisors (211576904422848).

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

102021012002112 is a wasteful number, since it uses less digits than its factorization.

102021012002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192809 (or 192799 counting only the distinct ones).

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

Adding to 102021012002112 its reverse (211200210120201), we get a palindrome (313221222122313).

The spelling of 102021012002112 in words is "one hundred two trillion, twenty-one billion, twelve million, two thousand, one hundred twelve".