211122211010100 has 288 divisors, whose sum is σ = 676323968162304. Its totient is φ = 50519396390400.

The previous prime is 211122211010041. The next prime is 211122211010171. The reversal of 211122211010100 is 1010112221112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211122211010100.

It is a congruent number.

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, 32401459 + ... + 38367941.

Almost surely, 2^{211122211010100} is an apocalyptic number.

211122211010100 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 211122211010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338161984081152).

211122211010100 is an abundant number, since it is smaller than the sum of its proper divisors (465201757152204).

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

211122211010100 is a wasteful number, since it uses less digits than its factorization.

211122211010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966767 (or 5966760 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211122211010100 its reverse (1010112221112), we get a palindrome (212132323231212).

The spelling of 211122211010100 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred eleven million, ten thousand, one hundred".