211100022200000 has 168 divisors, whose sum is σ = 531408358094544. Its totient is φ = 83179704960000.

The previous prime is 211100022199991. The next prime is 211100022200107. The reversal of 211100022200000 is 2220001112.

It is a happy number.

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, 5523134 + ... + 21276866.

It is an arithmetic number, because the mean of its divisors is an integer number (3163144988658).

Almost surely, 2^{211100022200000} is an apocalyptic number.

211100022200000 is a gapful number since it is divisible by the number (20) 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 211100022200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265704179047272).

211100022200000 is an abundant number, since it is smaller than the sum of its proper divisors (320308335894544).

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

211100022200000 is an frugal number, since it uses more digits than its factorization.

211100022200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15753837 (or 15753807 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211100022200000 its reverse (2220001112), we get a palindrome (211102242201112).

The spelling of 211100022200000 in words is "two hundred eleven trillion, one hundred billion, twenty-two million, two hundred thousand".