10010012212200 has 768 divisors, whose sum is σ = 42790201251840. Its totient is φ = 1868106240000.

The previous prime is 10010012212177. The next prime is 10010012212201. The reversal of 10010012212200 is 221221001001.

10010012212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10010012212201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21996975 + ... + 22447425.

It is an arithmetic number, because the mean of its divisors is an integer number (55716407880).

Almost surely, 2^{10010012212200} is an apocalyptic number.

10010012212200 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 10010012212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395100625920).

10010012212200 is an abundant number, since it is smaller than the sum of its proper divisors (32780189039640).

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

10010012212200 is a wasteful number, since it uses less digits than its factorization.

10010012212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450538 (or 450529 counting only the distinct ones).

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

Adding to 10010012212200 its reverse (221221001001), we get a palindrome (10231233213201).

The spelling of 10010012212200 in words is "ten trillion, ten billion, twelve million, two hundred twelve thousand, two hundred".