100012101210001 has 4 divisors (see below), whose sum is σ = 100012127180004. Its totient is φ = 100012075240000.

The previous prime is 100012101209953. The next prime is 100012101210053.

100012101210001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 55475698136401 + 44536403073600 = 7448201^2 + 6673560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100012101210001 is a prime.

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 100012101210001.

It is not an unprimeable number, because it can be changed into a prime (100012101210061) 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, 5931100 + ... + 15336301.

It is an arithmetic number, because the mean of its divisors is an integer number (25003031795001).

Almost surely, 2^{100012101210001} is an apocalyptic number.

It is an amenable number.

100012101210001 is a deficient number, since it is larger than the sum of its proper divisors (25970003).

100012101210001 is an equidigital number, since it uses as much as digits as its factorization.

100012101210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25970002.

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

It can be divided in two parts, 10001210 and 1210001, that added together give a palindrome (11211211).

The spelling of 100012101210001 in words is "one hundred trillion, twelve billion, one hundred one million, two hundred ten thousand, one".