21102002101200 has 480 divisors, whose sum is σ = 70816402317312. Its totient is φ = 5364705024000.

The previous prime is 21102002101189. The next prime is 21102002101211. The reversal of 21102002101200 is 210120020112.

It is an interprime number because it is at equal distance from previous prime (21102002101189) and next prime (21102002101211).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4550785282 + ... + 4550789918.

Almost surely, 2^{21102002101200} is an apocalyptic number.

21102002101200 is a gapful number since it is divisible by the number (20) 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 21102002101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35408201158656).

21102002101200 is an abundant number, since it is smaller than the sum of its proper divisors (49714400216112).

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

21102002101200 is a wasteful number, since it uses less digits than its factorization.

21102002101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21102002101200 its reverse (210120020112), we get a palindrome (21312122121312).

The spelling of 21102002101200 in words is "twenty-one trillion, one hundred two billion, two million, one hundred one thousand, two hundred".