1012000100001 has 32 divisors (see below), whose sum is σ = 1484569282560. Its totient is φ = 608108040000.

The previous prime is 1012000099969. The next prime is 1012000100011. The reversal of 1012000100001 is 1000010002101.

It is not a de Polignac number, because 1012000100001 - 2⁵ = 1012000099969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012000100011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3297951 + ... + 3591723.

It is an arithmetic number, because the mean of its divisors is an integer number (46392790080).

Almost surely, 2^{1012000100001} is an apocalyptic number.

1012000100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012000100001 is a deficient number, since it is larger than the sum of its proper divisors (472569182559).

1012000100001 is a wasteful number, since it uses less digits than its factorization.

1012000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294677.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1012000100001 its reverse (1000010002101), we get a palindrome (2012010102102).

The spelling of 1012000100001 in words is "one trillion, twelve billion, one hundred thousand, one".