10002012220200 has 1536 divisors, whose sum is σ = 45008119296000. Its totient is φ = 1768299724800.

The previous prime is 10002012220169. The next prime is 10002012220241. The reversal of 10002012220200 is 202221020001.

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 383 ways as a sum of consecutive naturals, for example, 422209956 + ... + 422233644.

It is an arithmetic number, because the mean of its divisors is an integer number (29302161000).

Almost surely, 2^{10002012220200} is an apocalyptic number.

10002012220200 is a gapful number since it is divisible by the number (10) 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 10002012220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504059648000).

10002012220200 is an abundant number, since it is smaller than the sum of its proper divisors (35006107075800).

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

10002012220200 is a wasteful number, since it uses less digits than its factorization.

10002012220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23795 (or 23786 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10002012220200 its reverse (202221020001), we get a palindrome (10204233240201).

The spelling of 10002012220200 in words is "ten trillion, two billion, twelve million, two hundred twenty thousand, two hundred".