10001211332200 has 192 divisors, whose sum is σ = 27039805056000. Its totient is φ = 3401779680000.

The previous prime is 10001211332197. The next prime is 10001211332237. The reversal of 10001211332200 is 223311210001.

It is a super-2 number, since 2×10001211332200² (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 47 ways as a sum of consecutive naturals, for example, 1787875 + ... + 4816525.

It is an arithmetic number, because the mean of its divisors is an integer number (140832318000).

Almost surely, 2^{10001211332200} is an apocalyptic number.

10001211332200 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 10001211332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519902528000).

10001211332200 is an abundant number, since it is smaller than the sum of its proper divisors (17038593723800).

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

10001211332200 is a wasteful number, since it uses less digits than its factorization.

10001211332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028776 (or 3028767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10001211332200 its reverse (223311210001), we get a palindrome (10224522542201).

The spelling of 10001211332200 in words is "ten trillion, one billion, two hundred eleven million, three hundred thirty-two thousand, two hundred".