100110221012201 has 2 divisors, whose sum is σ = 100110221012202. Its totient is φ = 100110221012200.

The previous prime is 100110221012167. The next prime is 100110221012273. The reversal of 100110221012201 is 102210122011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88231755366976 + 11878465645225 = 9393176^2 + 3446515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110221012201 is a prime.

It is a super-2 number, since 2×100110221012201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110221312201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055110506100 + 50055110506101.

It is an arithmetic number, because the mean of its divisors is an integer number (50055110506101).

Almost surely, 2^{100110221012201} is an apocalyptic number.

It is an amenable number.

100110221012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110221012201 is an equidigital number, since it uses as much as digits as its factorization.

100110221012201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100110221012201 its reverse (102210122011001), we get a palindrome (202320343023202).

It can be divided in two parts, 1001 and 10221012201, that multiplied together give a palindrome (10231233213201).

The spelling of 100110221012201 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-one million, twelve thousand, two hundred one".