211222011010100 has 288 divisors, whose sum is σ = 501098685964800. Its totient is φ = 77009000140800.

The previous prime is 211222011010097. The next prime is 211222011010133. The reversal of 211222011010100 is 1010110222112.

211222011010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211222011010100² (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 95 ways as a sum of consecutive naturals, for example, 5249427182 + ... + 5249467418.

Almost surely, 2^{211222011010100} is an apocalyptic number.

211222011010100 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 211222011010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250549342982400).

211222011010100 is an abundant number, since it is smaller than the sum of its proper divisors (289876674954700).

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

211222011010100 is a wasteful number, since it uses less digits than its factorization.

211222011010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41243 (or 41236 counting only the distinct ones).

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

Adding to 211222011010100 its reverse (1010110222112), we get a palindrome (212232121232212).

The spelling of 211222011010100 in words is "two hundred eleven trillion, two hundred twenty-two billion, eleven million, ten thousand, one hundred".