211220021110200 has 192 divisors, whose sum is σ = 688841451504000. Its totient is φ = 53461338416640.

The previous prime is 211220021110199. The next prime is 211220021110249. The reversal of 211220021110200 is 2011120022112.

211220021110200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211220021110200² (a number of 29 digits) contains 22 as substring.

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 211220021110200.

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, 101846974 + ... + 103900173.

It is an arithmetic number, because the mean of its divisors is an integer number (3587715893250).

Almost surely, 2^{211220021110200} is an apocalyptic number.

211220021110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220021110200 is an abundant number, since it is smaller than the sum of its proper divisors (477621430393800).

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

211220021110200 is a wasteful number, since it uses less digits than its factorization.

211220021110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205747254 (or 205747245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211220021110200 its reverse (2011120022112), we get a palindrome (213231141132312).

The spelling of 211220021110200 in words is "two hundred eleven trillion, two hundred twenty billion, twenty-one million, one hundred ten thousand, two hundred".