211011200100100 has 108 divisors (see below), whose sum is σ = 486429055439404. Its totient is φ = 79436998379520.

The previous prime is 211011200100089. The next prime is 211011200100161. The reversal of 211011200100100 is 1001002110112.

It can be written as a sum of positive squares in 18 ways, for example, as 198517053593664 + 12494146506436 = 14089608^2 + 3534706^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1092699154 + ... + 1092892246.

Almost surely, 2^{211011200100100} is an apocalyptic number.

211011200100100 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 211011200100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243214527719702).

211011200100100 is an abundant number, since it is smaller than the sum of its proper divisors (275417855339304).

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

211011200100100 is a wasteful number, since it uses less digits than its factorization.

211011200100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230954 (or 230930 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211011200100100 its reverse (1001002110112), we get a palindrome (212012202210212).

The spelling of 211011200100100 in words is "two hundred eleven trillion, eleven billion, two hundred million, one hundred thousand, one hundred".