211102021110200 has 192 divisors, whose sum is σ = 544811562864000. Its totient is φ = 75421015488000.

The previous prime is 211102021110181. The next prime is 211102021110251. The reversal of 211102021110200 is 2011120201112.

It is a super-2 number, since 2×211102021110200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231757655 + ... + 232666745.

It is an arithmetic number, because the mean of its divisors is an integer number (2837560223250).

Almost surely, 2^{211102021110200} is an apocalyptic number.

211102021110200 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 211102021110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272405781432000).

211102021110200 is an abundant number, since it is smaller than the sum of its proper divisors (333709541753800).

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

211102021110200 is a wasteful number, since it uses less digits than its factorization.

211102021110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910966 (or 910957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211102021110200 its reverse (2011120201112), we get a palindrome (213113141311312).

The spelling of 211102021110200 in words is "two hundred eleven trillion, one hundred two billion, twenty-one million, one hundred ten thousand, two hundred".