10001200212 has 72 divisors (see below), whose sum is σ = 25769016000. Its totient is φ = 3269618688.

The previous prime is 10001200163. The next prime is 10001200219. The reversal of 10001200212 is 21200210001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001200194 and 10001200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001200219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948433 + ... + 958919.

It is an arithmetic number, because the mean of its divisors is an integer number (357903000).

Almost surely, 2^10001200212 is an apocalyptic number.

10001200212 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 10001200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884508000).

10001200212 is an abundant number, since it is smaller than the sum of its proper divisors (15767815788).

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

10001200212 is a wasteful number, since it uses less digits than its factorization.

10001200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001200212 its reverse (21200210001), we get a palindrome (31201410213).

The spelling of 10001200212 in words is "ten billion, one million, two hundred thousand, two hundred twelve".