211010220101100 has 432 divisors, whose sum is σ = 773424410669568. Its totient is φ = 43420149104640.

The previous prime is 211010220101053. The next prime is 211010220101119. The reversal of 211010220101100 is 1101022010112.

It is a super-2 number, since 2×211010220101100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6400324 + ... + 21517076.

Almost surely, 2^{211010220101100} is an apocalyptic number.

211010220101100 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 211010220101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386712205334784).

211010220101100 is an abundant number, since it is smaller than the sum of its proper divisors (562414190568468).

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

211010220101100 is a wasteful number, since it uses less digits than its factorization.

211010220101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15116834 (or 15116810 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211010220101100 its reverse (1101022010112), we get a palindrome (212111242111212).

The spelling of 211010220101100 in words is "two hundred eleven trillion, ten billion, two hundred twenty million, one hundred one thousand, one hundred".