211101103020 has 192 divisors, whose sum is σ = 622400163840. Its totient is φ = 53383142400.

The previous prime is 211101103013. The next prime is 211101103051. The reversal of 211101103020 is 20301101112.

211101103020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 211101102987 and 211101103005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115797829 + ... + 115799651.

It is an arithmetic number, because the mean of its divisors is an integer number (3241667520).

Almost surely, 2^211101103020 is an apocalyptic number.

211101103020 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 211101103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311200081920).

211101103020 is an abundant number, since it is smaller than the sum of its proper divisors (411299060820).

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

211101103020 is a wasteful number, since it uses less digits than its factorization.

211101103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3014 counting only the distinct ones).

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

Adding to 211101103020 its reverse (20301101112), we get a palindrome (231402204132).

The spelling of 211101103020 in words is "two hundred eleven billion, one hundred one million, one hundred three thousand, twenty".