100100222010001 has 16 divisors (see below), whose sum is σ = 101713765824000. Its totient is φ = 98492422336000.

The previous prime is 100100222009969. The next prime is 100100222010073. The reversal of 100100222010001 is 100010222001001.

It is not a de Polignac number, because 100100222010001 - 2⁵ = 100100222009969 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 100100222010001.

It is not an unprimeable number, because it can be changed into a prime (100100222019001) 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, 163269576 + ... + 163881526.

It is an arithmetic number, because the mean of its divisors is an integer number (6357110364000).

Almost surely, 2^{100100222010001} is an apocalyptic number.

It is an amenable number.

100100222010001 is a deficient number, since it is larger than the sum of its proper divisors (1613543813999).

100100222010001 is an equidigital number, since it uses as much as digits as its factorization.

100100222010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616640.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100222010001 its reverse (100010222001001), we get a palindrome (200110444011002).

The spelling of 100100222010001 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, ten thousand, one".