210002101200012 has 96 divisors (see below), whose sum is σ = 539028236936448. Its totient is φ = 63629956368000.

The previous prime is 210002101199987. The next prime is 210002101200061.

210002101200012 is nontrivially palindromic in base 10.

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

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, 144478312 + ... + 145924592.

It is an arithmetic number, because the mean of its divisors is an integer number (5614877468088).

Almost surely, 2^{210002101200012} is an apocalyptic number.

210002101200012 is a gapful number since it is divisible by the number (22) 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 210002101200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269514118468224).

210002101200012 is an abundant number, since it is smaller than the sum of its proper divisors (329026135736436).

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

210002101200012 is a wasteful number, since it uses less digits than its factorization.

210002101200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455412 (or 1455388 counting only the distinct ones).

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

It can be divided in two parts, 21000210 and 1200012, that added together give a palindrome (22200222).

The spelling of 210002101200012 in words is "two hundred ten trillion, two billion, one hundred one million, two hundred thousand, twelve".