1010100003012 has 36 divisors (see below), whose sum is σ = 2703502950876. Its totient is φ = 316894118400.

The previous prime is 1010100002983. The next prime is 1010100003013. The reversal of 1010100003012 is 2103000010101.

1010100003012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 756440709696 + 253659293316 = 869736^2 + 503646^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1010100002985 and 1010100003003.

It is not an unprimeable number, because it can be changed into a prime (1010100003013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825244489 + ... + 825245712.

It is an arithmetic number, because the mean of its divisors is an integer number (75097304191).

Almost surely, 2^{1010100003012} is an apocalyptic number.

1010100003012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010100003012 is an abundant number, since it is smaller than the sum of its proper divisors (1693402947864).

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

1010100003012 is a wasteful number, since it uses less digits than its factorization.

1010100003012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650490228 (or 1650490223 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1010100003012 its reverse (2103000010101), we get a palindrome (3113100013113).

The spelling of 1010100003012 in words is "one trillion, ten billion, one hundred million, three thousand, twelve".