1012100012001 has 12 divisors (see below), whose sum is σ = 1574377796628. Its totient is φ = 622830776544.

The previous prime is 1012100011921. The next prime is 1012100012029. The reversal of 1012100012001 is 1002100012101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 257938031376 + 754161980625 = 507876^2 + 868425^2 .

It is not a de Polignac number, because 1012100012001 - 2¹⁹ = 1012099487713 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1012100032001) 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, 4325213610 + ... + 4325213843.

It is an arithmetic number, because the mean of its divisors is an integer number (131198149719).

Almost surely, 2^{1012100012001} is an apocalyptic number.

It is an amenable number.

1012100012001 is a deficient number, since it is larger than the sum of its proper divisors (562277784627).

1012100012001 is a wasteful number, since it uses less digits than its factorization.

1012100012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8650427472 (or 8650427469 counting only the distinct ones).

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

Adding to 1012100012001 its reverse (1002100012101), we get a palindrome (2014200024102).

The spelling of 1012100012001 in words is "one trillion, twelve billion, one hundred million, twelve thousand, one".