211222100100100 has 72 divisors (see below), whose sum is σ = 458898760892936. Its totient is φ = 84388106880000.

The previous prime is 211222100100073. The next prime is 211222100100127. The reversal of 211222100100100 is 1001001222112.

It is an interprime number because it is at equal distance from previous prime (211222100100073) and next prime (211222100100127).

It can be written as a sum of positive squares in 12 ways, for example, as 121692315467776 + 89529784632324 = 11031424^2 + 9462018^2 .

It is a super-2 number, since 2×211222100100100² (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, 281841880 + ... + 282590320.

Almost surely, 2^{211222100100100} is an apocalyptic number.

211222100100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222100100100 is an abundant number, since it is smaller than the sum of its proper divisors (247676660792836).

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

211222100100100 is a wasteful number, since it uses less digits than its factorization.

211222100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751817 (or 751810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211222100100100 its reverse (1001001222112), we get a palindrome (212223101322212).

The spelling of 211222100100100 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred million, one hundred thousand, one hundred".