211312223100 has 108 divisors (see below), whose sum is σ = 722559768840. Its totient is φ = 51227203200.

The previous prime is 211312223071. The next prime is 211312223113. The reversal of 211312223100 is 1322213112.

211312223100 is a `hidden beast` number, since 2 + 1 + 131 + 222 + 310 + 0 = 666.

It is a super-2 number, since 2×211312223100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 10662435 + ... + 10682234.

It is an arithmetic number, because the mean of its divisors is an integer number (6690368230).

Almost surely, 2^211312223100 is an apocalyptic number.

211312223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312223100 is an abundant number, since it is smaller than the sum of its proper divisors (511247545740).

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

211312223100 is a wasteful number, since it uses less digits than its factorization.

211312223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21344700 (or 21344690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211312223100 its reverse (1322213112), we get a palindrome (212634436212).

The spelling of 211312223100 in words is "two hundred eleven billion, three hundred twelve million, two hundred twenty-three thousand, one hundred".