1012012110001 has 8 divisors (see below), whose sum is σ = 1012539225384. Its totient is φ = 1011485082240.

The previous prime is 1012012109963. The next prime is 1012012110037. The reversal of 1012012110001 is 1000112102101.

1012012110001 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 4 ways, for example, as 256501731600 + 755510378401 = 506460^2 + 869201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1012012110001 - 2¹⁵ = 1012012077233 is a prime.

It is a super-2 number, since 2×1012012110001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1012012110001.

It is not an unprimeable number, because it can be changed into a prime (1012012110041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47678571 + ... + 47699791.

It is an arithmetic number, because the mean of its divisors is an integer number (126567403173).

Almost surely, 2^{1012012110001} is an apocalyptic number.

It is an amenable number.

1012012110001 is a deficient number, since it is larger than the sum of its proper divisors (527115383).

1012012110001 is a wasteful number, since it uses less digits than its factorization.

1012012110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43811.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1012012110001 its reverse (1000112102101), we get a palindrome (2012124212102).

The spelling of 1012012110001 in words is "one trillion, twelve billion, twelve million, one hundred ten thousand, one".