1101211020 has 576 divisors, whose sum is σ = 4461649920. Its totient is φ = 213497856.

The previous prime is 1101211009. The next prime is 1101211061. The reversal of 1101211020 is 201121011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101210993 and 1101211011.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13939341 + ... + 13939419.

It is an arithmetic number, because the mean of its divisors is an integer number (7745920).

Almost surely, 2^1101211020 is an apocalyptic number.

1101211020 is a gapful number since it is divisible by the number (10) 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 1101211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230824960).

1101211020 is an abundant number, since it is smaller than the sum of its proper divisors (3360438900).

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

1101211020 is a wasteful number, since it uses less digits than its factorization.

1101211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1101211020 is about 33184.4996948877. The cubic root of 1101211020 is about 1032.6587983003.

Adding to 1101211020 its reverse (201121011), we get a palindrome (1302332031).

Subtracting from 1101211020 its reverse (201121011), we obtain a palindrome (900090009).

The spelling of 1101211020 in words is "one billion, one hundred one million, two hundred eleven thousand, twenty".