10010002012200 has 576 divisors, whose sum is σ = 34200334371840. Its totient is φ = 2623565168640.

The previous prime is 10010002012183. The next prime is 10010002012267. The reversal of 10010002012200 is 221020001001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12162820989 + ... + 12162821811.

Almost surely, 2^{10010002012200} is an apocalyptic number.

10010002012200 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 10010002012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100167185920).

10010002012200 is an abundant number, since it is smaller than the sum of its proper divisors (24190332359640).

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

10010002012200 is a wasteful number, since it uses less digits than its factorization.

10010002012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1406 counting only the distinct ones).

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

Adding to 10010002012200 its reverse (221020001001), we get a palindrome (10231022013201).

The spelling of 10010002012200 in words is "ten trillion, ten billion, two million, twelve thousand, two hundred".