211101011020 has 48 divisors (see below), whose sum is σ = 451663799328. Its totient is φ = 82864409600.

The previous prime is 211101010963. The next prime is 211101011029. The reversal of 211101011020 is 20110101112.

It is a super-2 number, since 2×211101011020² (a number of 23 digits) contains 22 as substring.

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 = 211101010988 and 211101011006.

It is not an unprimeable number, because it can be changed into a prime (211101011029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234154 + ... + 690673.

It is an arithmetic number, because the mean of its divisors is an integer number (9409662486).

Almost surely, 2^211101011020 is an apocalyptic number.

211101011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101011020 is an abundant number, since it is smaller than the sum of its proper divisors (240562788308).

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

211101011020 is a wasteful number, since it uses less digits than its factorization.

211101011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925050 (or 925048 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211101011020 its reverse (20110101112), we get a palindrome (231211112132).

The spelling of 211101011020 in words is "two hundred eleven billion, one hundred one million, eleven thousand, twenty".