211020011020 has 192 divisors, whose sum is σ = 553723269120. Its totient is φ = 65770278912.

The previous prime is 211020011003. The next prime is 211020011021. The reversal of 211020011020 is 20110020112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211020010988 and 211020011006.

It is not an unprimeable number, because it can be changed into a prime (211020011021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63692884 + ... + 63696196.

It is an arithmetic number, because the mean of its divisors is an integer number (2883975360).

Almost surely, 2^211020011020 is an apocalyptic number.

211020011020 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 211020011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276861634560).

211020011020 is an abundant number, since it is smaller than the sum of its proper divisors (342703258100).

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

211020011020 is a wasteful number, since it uses less digits than its factorization.

211020011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211020011020 its reverse (20110020112), we get a palindrome (231130031132).

The spelling of 211020011020 in words is "two hundred eleven billion, twenty million, eleven thousand, twenty".