1010211020 has 72 divisors (see below), whose sum is σ = 2625414624. Its totient is φ = 319707648.

The previous prime is 1010210977. The next prime is 1010211053. The reversal of 1010211020 is 201120101.

1010211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010210989 and 1010211007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2312 + ... + 45008.

It is an arithmetic number, because the mean of its divisors is an integer number (36464092).

Almost surely, 2^1010211020 is an apocalyptic number.

1010211020 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 1010211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312707312).

1010211020 is an abundant number, since it is smaller than the sum of its proper divisors (1615203604).

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

1010211020 is a wasteful number, since it uses less digits than its factorization.

1010211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42739 (or 42724 counting only the distinct ones).

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

The square root of 1010211020 is about 31783.8169513984. The cubic root of 1010211020 is about 1003.3921536163.

Adding to 1010211020 its reverse (201120101), we get a palindrome (1211331121).

The spelling of 1010211020 in words is "one billion, ten million, two hundred eleven thousand, twenty".