10001222211100 has 108 divisors (see below), whose sum is σ = 22171890684216. Its totient is φ = 3915651991680.

The previous prime is 10001222210957. The next prime is 10001222211143. The reversal of 10001222211100 is 111222210001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70406347 + ... + 70548253.

Almost surely, 2^{10001222211100} is an apocalyptic number.

10001222211100 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 10001222211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11085945342108).

10001222211100 is an abundant number, since it is smaller than the sum of its proper divisors (12170668473116).

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

10001222211100 is a wasteful number, since it uses less digits than its factorization.

10001222211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142212 (or 142138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001222211100 its reverse (111222210001), we get a palindrome (10112444421101).

The spelling of 10001222211100 in words is "ten trillion, one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred".