211101221100 has 288 divisors, whose sum is σ = 769047777792. Its totient is φ = 43430400000.

The previous prime is 211101221083. The next prime is 211101221117. The reversal of 211101221100 is 1122101112.

It is an interprime number because it is at equal distance from previous prime (211101221083) and next prime (211101221117).

It is a super-2 number, since 2×211101221100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2287860 + ... + 2378340.

It is an arithmetic number, because the mean of its divisors is an integer number (2670304784).

Almost surely, 2^211101221100 is an apocalyptic number.

211101221100 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 211101221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384523888896).

211101221100 is an abundant number, since it is smaller than the sum of its proper divisors (557946556692).

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

211101221100 is a wasteful number, since it uses less digits than its factorization.

211101221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90617 (or 90610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211101221100 its reverse (1122101112), we get a palindrome (212223322212).

The spelling of 211101221100 in words is "two hundred eleven billion, one hundred one million, two hundred twenty-one thousand, one hundred".