211101102102020 has 96 divisors (see below), whose sum is σ = 479062941719040. Its totient is φ = 77675709381120.

The previous prime is 211101102102017. The next prime is 211101102102053. The reversal of 211101102102020 is 20201201101112.

It is a junction number, because it is equal to n+sod(n) for n = 211101102101986 and 211101102102004.

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 31 ways as a sum of consecutive naturals, for example, 2496452501 + ... + 2496537059.

It is an arithmetic number, because the mean of its divisors is an integer number (4990238976240).

Almost surely, 2^{211101102102020} is an apocalyptic number.

211101102102020 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 211101102102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239531470859520).

211101102102020 is an abundant number, since it is smaller than the sum of its proper divisors (267961839617020).

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

211101102102020 is a wasteful number, since it uses less digits than its factorization.

211101102102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117645 (or 117643 counting only the distinct ones).

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

Adding to 211101102102020 its reverse (20201201101112), we get a palindrome (231302303203132).

The spelling of 211101102102020 in words is "two hundred eleven trillion, one hundred one billion, one hundred two million, one hundred two thousand, twenty".