211131100102200 has 288 divisors, whose sum is σ = 698800925552400. Its totient is φ = 52720774184960.

The previous prime is 211131100102151. The next prime is 211131100102231. The reversal of 211131100102200 is 2201001131112.

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 211131100102200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31069456 + ... + 37250144.

Almost surely, 2^{211131100102200} is an apocalyptic number.

211131100102200 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 211131100102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349400462776200).

211131100102200 is an abundant number, since it is smaller than the sum of its proper divisors (487669825450200).

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

211131100102200 is a wasteful number, since it uses less digits than its factorization.

211131100102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180939 (or 6180913 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211131100102200 its reverse (2201001131112), we get a palindrome (213332101233312).

The spelling of 211131100102200 in words is "two hundred eleven trillion, one hundred thirty-one billion, one hundred million, one hundred two thousand, two hundred".