100122310102003 has 16 divisors (see below), whose sum is σ = 122517716840640. Its totient is φ = 79863400590336.

The previous prime is 100122310101991. The next prime is 100122310102019. The reversal of 100122310102003 is 300201013221001.

It is a cyclic number.

It is not a de Polignac number, because 100122310102003 - 2¹³ = 100122310093811 is a prime.

It is a super-2 number, since 2×100122310102003² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122310102043) 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, 4726753176 + ... + 4726774357.

It is an arithmetic number, because the mean of its divisors is an integer number (7657357302540).

Almost surely, 2^{100122310102003} is an apocalyptic number.

100122310102003 is a deficient number, since it is larger than the sum of its proper divisors (22395406738637).

100122310102003 is an equidigital number, since it uses as much as digits as its factorization.

100122310102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9453527646.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100122310102003 its reverse (300201013221001), we get a palindrome (400323323323004).

The spelling of 100122310102003 in words is "one hundred trillion, one hundred twenty-two billion, three hundred ten million, one hundred two thousand, three".