21002120102112 has 192 divisors, whose sum is σ = 59299426577664. Its totient is φ = 6484572610560.

The previous prime is 21002120102101. The next prime is 21002120102141. The reversal of 21002120102112 is 21120102120012.

It is a junction number, because it is equal to n+sod(n) for n = 21002120102091 and 21002120102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119206278 + ... + 119382330.

It is an arithmetic number, because the mean of its divisors is an integer number (308851180092).

Almost surely, 2^{21002120102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002120102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29649713288832).

21002120102112 is an abundant number, since it is smaller than the sum of its proper divisors (38297306475552).

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

21002120102112 is a wasteful number, since it uses less digits than its factorization.

21002120102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177241 (or 177233 counting only the distinct ones).

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

Adding to 21002120102112 its reverse (21120102120012), we get a palindrome (42122222222124).

The spelling of 21002120102112 in words is "twenty-one trillion, two billion, one hundred twenty million, one hundred two thousand, one hundred twelve".