1020101120 has 40 divisors (see below), whose sum is σ = 2445857964. Its totient is φ = 408039424.

The previous prime is 1020101119. The next prime is 1020101141. The reversal of 1020101120 is 211010201.

It can be written as a sum of positive squares in 2 ways, for example, as 950612224 + 69488896 = 30832^2 + 8336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1020101098 and 1020101107.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 196679 + ... + 201798.

Almost surely, 2^1020101120 is an apocalyptic number.

1020101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020101120 is an abundant number, since it is smaller than the sum of its proper divisors (1425756844).

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

1020101120 is an frugal number, since it uses more digits than its factorization.

1020101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398500 (or 398484 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1020101120 is about 31939.0219011165. The cubic root of 1020101120 is about 1006.6559730650.

Adding to 1020101120 its reverse (211010201), we get a palindrome (1231111321).

The spelling of 1020101120 in words is "one billion, twenty million, one hundred one thousand, one hundred twenty".