100012001221001 has 16 divisors (see below), whose sum is σ = 106009978546368. Its totient is φ = 94026816576000.

The previous prime is 100012001220977. The next prime is 100012001221009. The reversal of 100012001221001 is 100122100210001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100012001221001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012001221009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134722226 + ... + 135462548.

It is an arithmetic number, because the mean of its divisors is an integer number (6625623659148).

Almost surely, 2^{100012001221001} is an apocalyptic number.

It is an amenable number.

100012001221001 is a deficient number, since it is larger than the sum of its proper divisors (5997977325367).

100012001221001 is a wasteful number, since it uses less digits than its factorization.

100012001221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748952.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100012001221001 its reverse (100122100210001), we get a palindrome (200134101431002).

The spelling of 100012001221001 in words is "one hundred trillion, twelve billion, one million, two hundred twenty-one thousand, one".