1102121020 has 96 divisors (see below), whose sum is σ = 3107575296. Its totient is φ = 317088000.

The previous prime is 1102120967. The next prime is 1102121029. The reversal of 1102121020 is 201212011.

1102121020 = T₅₇ + T₅₈ + ... + T₁₈₇₆.

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 = 1102120988 and 1102121006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7506 + ... + 47545.

It is an arithmetic number, because the mean of its divisors is an integer number (32370576).

Almost surely, 2^1102121020 is an apocalyptic number.

1102121020 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 1102121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553787648).

1102121020 is an abundant number, since it is smaller than the sum of its proper divisors (2005454276).

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

1102121020 is a wasteful number, since it uses less digits than its factorization.

1102121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55091 (or 55089 counting only the distinct ones).

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

The square root of 1102121020 is about 33198.2080841723. The cubic root of 1102121020 is about 1032.9431703109.

Adding to 1102121020 its reverse (201212011), we get a palindrome (1303333031).

Subtracting from 1102121020 its reverse (201212011), we obtain a palindrome (900909009).

It can be divided in two parts, 11021 and 21020, that added together give a square (32041 = 179²).

The spelling of 1102121020 in words is "one billion, one hundred two million, one hundred twenty-one thousand, twenty".