100331201322101 has 2 divisors, whose sum is σ = 100331201322102. Its totient is φ = 100331201322100.

The previous prime is 100331201322059. The next prime is 100331201322179. The reversal of 100331201322101 is 101223102133001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93603786759025 + 6727414563076 = 9674905^2 + 2593726^2 .

It is a cyclic number.

It is not a de Polignac number, because 100331201322101 - 2²² = 100331197127797 is a prime.

It is a super-2 number, since 2×100331201322101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100331201322601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165600661050 + 50165600661051.

It is an arithmetic number, because the mean of its divisors is an integer number (50165600661051).

Almost surely, 2^{100331201322101} is an apocalyptic number.

It is an amenable number.

100331201322101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100331201322101 is an equidigital number, since it uses as much as digits as its factorization.

100331201322101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100331201322101 its reverse (101223102133001), we get a palindrome (201554303455102).

The spelling of 100331201322101 in words is "one hundred trillion, three hundred thirty-one billion, two hundred one million, three hundred twenty-two thousand, one hundred one".