10001011212200 has 96 divisors (see below), whose sum is σ = 23765088044160. Its totient is φ = 3912320755200.

The previous prime is 10001011212161. The next prime is 10001011212229. The reversal of 10001011212200 is 221211010001.

It is a super-2 number, since 2×10001011212200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12014699 + ... + 12820101.

It is an arithmetic number, because the mean of its divisors is an integer number (247553000460).

Almost surely, 2^{10001011212200} is an apocalyptic number.

10001011212200 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 10001011212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882544022080).

10001011212200 is an abundant number, since it is smaller than the sum of its proper divisors (13764076831960).

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

10001011212200 is a wasteful number, since it uses less digits than its factorization.

10001011212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806787 (or 806778 counting only the distinct ones).

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

Adding to 10001011212200 its reverse (221211010001), we get a palindrome (10222222222201).

The spelling of 10001011212200 in words is "ten trillion, one billion, eleven million, two hundred twelve thousand, two hundred".