1012101012 has 72 divisors (see below), whose sum is σ = 2758979496. Its totient is φ = 310984704.

The previous prime is 1012101011. The next prime is 1012101037. The reversal of 1012101012 is 2101012101.

It is a happy number.

1012101012 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 13793796 + 998307216 = 3714^2 + 31596^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1012100985 and 1012101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568668 + ... + 570444.

Almost surely, 2^1012101012 is an apocalyptic number.

1012101012 is a gapful number since it is divisible by the number (12) 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 1012101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379489748).

1012101012 is an abundant number, since it is smaller than the sum of its proper divisors (1746878484).

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

1012101012 is a wasteful number, since it uses less digits than its factorization.

1012101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3012 counting only the distinct ones).

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

The square root of 1012101012 is about 31813.5350440658. The cubic root of 1012101012 is about 1004.0175086760.

Adding to 1012101012 its reverse (2101012101), we get a palindrome (3113113113).

It can be divided in two parts, 101 and 2101012, that multiplied together give a palindrome (212202212).

The spelling of 1012101012 in words is "one billion, twelve million, one hundred one thousand, twelve".