100122100003321 has 16 divisors (see below), whose sum is σ = 117609210204480. Its totient is φ = 84214002350080.

The previous prime is 100122100003301. The next prime is 100122100003327. The reversal of 100122100003321 is 123300001221001.

It is a cyclic number.

It is not a de Polignac number, because 100122100003321 - 2¹³ = 100122099995129 is a prime.

It is a super-2 number, since 2×100122100003321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122100003295 and 100122100003304.

It is not an unprimeable number, because it can be changed into a prime (100122100003327) 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, 4537381336 + ... + 4537403401.

It is an arithmetic number, because the mean of its divisors is an integer number (7350575637780).

Almost surely, 2^{100122100003321} is an apocalyptic number.

100122100003321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122100003321 is a deficient number, since it is larger than the sum of its proper divisors (17487110201159).

100122100003321 is a wasteful number, since it uses less digits than its factorization.

100122100003321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074784824.

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

Adding to 100122100003321 its reverse (123300001221001), we get a palindrome (223422101224322).

The spelling of 100122100003321 in words is "one hundred trillion, one hundred twenty-two billion, one hundred million, three thousand, three hundred twenty-one".