100031012201 has 2 divisors, whose sum is σ = 100031012202. Its totient is φ = 100031012200.

The previous prime is 100031012183. The next prime is 100031012209. The reversal of 100031012201 is 102210130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91218496576 + 8812515625 = 302024^2 + 93875^2 .

It is a cyclic number.

It is not a de Polignac number, because 100031012201 - 2¹⁴ = 100030995817 is a prime.

It is a super-2 number, since 2×100031012201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100031012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50015506100 + 50015506101.

It is an arithmetic number, because the mean of its divisors is an integer number (50015506101).

Almost surely, 2^100031012201 is an apocalyptic number.

It is an amenable number.

100031012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100031012201 is an equidigital number, since it uses as much as digits as its factorization.

100031012201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100031012201 its reverse (102210130001), we get a palindrome (202241142202).

The spelling of 100031012201 in words is "one hundred billion, thirty-one million, twelve thousand, two hundred one".