211112100120200 has 96 divisors (see below), whose sum is σ = 519820097196960. Its totient is φ = 79460402304000.

The previous prime is 211112100120193. The next prime is 211112100120239. The reversal of 211112100120200 is 2021001211112.

It is a super-2 number, since 2×211112100120200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9138299 + ... + 22488501.

It is an arithmetic number, because the mean of its divisors is an integer number (5414792679135).

Almost surely, 2^{211112100120200} is an apocalyptic number.

211112100120200 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 211112100120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259910048598480).

211112100120200 is an abundant number, since it is smaller than the sum of its proper divisors (308707997076760).

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

211112100120200 is a wasteful number, since it uses less digits than its factorization.

211112100120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13354887 (or 13354878 counting only the distinct ones).

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

Adding to 211112100120200 its reverse (2021001211112), we get a palindrome (213133101331312).

The spelling of 211112100120200 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred million, one hundred twenty thousand, two hundred".