10100012211200 has 132 divisors (see below), whose sum is σ = 25043440594152. Its totient is φ = 4038771916800.

The previous prime is 10100012211199. The next prime is 10100012211227. The reversal of 10100012211200 is 211221000101.

It is a super-2 number, since 2×10100012211200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86239082 + ... + 86356118.

Almost surely, 2^{10100012211200} is an apocalyptic number.

10100012211200 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 10100012211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521720297076).

10100012211200 is an abundant number, since it is smaller than the sum of its proper divisors (14943428382952).

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

10100012211200 is a wasteful number, since it uses less digits than its factorization.

10100012211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120438 (or 120415 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100012211200 its reverse (211221000101), we get a palindrome (10311233211301).

The spelling of 10100012211200 in words is "ten trillion, one hundred billion, twelve million, two hundred eleven thousand, two hundred".