1010112021 has 24 divisors (see below), whose sum is σ = 1513395000. Its totient is φ = 648450432.

The previous prime is 1010112007. The next prime is 1010112031. The reversal of 1010112021 is 1202110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45077796 + 965034225 = 6714^2 + 31065^2 .

It is not a de Polignac number, because 1010112021 - 2⁵ = 1010111989 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010111994 and 1010112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010112031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96555 + ... + 106503.

It is an arithmetic number, because the mean of its divisors is an integer number (63058125).

Almost surely, 2^1010112021 is an apocalyptic number.

It is an amenable number.

1010112021 is a deficient number, since it is larger than the sum of its proper divisors (503282979).

1010112021 is a wasteful number, since it uses less digits than its factorization.

1010112021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10370 counting only the distinct ones).

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

The square root of 1010112021 is about 31782.2595326386. The cubic root of 1010112021 is about 1003.3593756248.

Adding to 1010112021 its reverse (1202110101), we get a palindrome (2212222122).

It can be divided in two parts, 10101 and 12021, that multiplied together give a palindrome (121424121).

The spelling of 1010112021 in words is "one billion, ten million, one hundred twelve thousand, twenty-one".