1010121012 has 36 divisors (see below), whose sum is σ = 2575967940. Its totient is φ = 333725952.

The previous prime is 1010120989. The next prime is 1010121037. The reversal of 1010121012 is 2101210101.

It is a happy number.

1010121012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

1010121012 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 2 ways, for example, as 83283876 + 926837136 = 9126^2 + 30444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1010121012³ (a number of 28 digits) contains 333 as substring.

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 = 1010120985 and 1010121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120087 + ... + 128222.

It is an arithmetic number, because the mean of its divisors is an integer number (71554665).

Almost surely, 2^1010121012 is an apocalyptic number.

1010121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010121012 is an abundant number, since it is smaller than the sum of its proper divisors (1565846928).

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

1010121012 is a wasteful number, since it uses less digits than its factorization.

1010121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248432 (or 248427 counting only the distinct ones).

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

The square root of 1010121012 is about 31782.4009791583. The cubic root of 1010121012 is about 1003.3623525809.

Adding to 1010121012 its reverse (2101210101), we get a palindrome (3111331113).

It can be divided in two parts, 10101 and 21012, that multiplied together give a palindrome (212242212).

The spelling of 1010121012 in words is "one billion, ten million, one hundred twenty-one thousand, twelve".