1012100012101 has 4 divisors (see below), whose sum is σ = 1012102061152. Its totient is φ = 1012097963052.

The previous prime is 1012100012047. The next prime is 1012100012107.

1012100012101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1012100012101 - 2³⁹ = 462344198213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012100012107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221590 + ... + 1439896.

It is an arithmetic number, because the mean of its divisors is an integer number (253025515288).

Almost surely, 2^{1012100012101} is an apocalyptic number.

It is an amenable number.

1012100012101 is a deficient number, since it is larger than the sum of its proper divisors (2049051).

1012100012101 is an equidigital number, since it uses as much as digits as its factorization.

1012100012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049050.

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

It can be divided in two parts, 10121000 and 12101, that added together give a palindrome (10133101).

The spelling of 1012100012101 in words is "one trillion, twelve billion, one hundred million, twelve thousand, one hundred one".