100111021102201 has 2 divisors, whose sum is σ = 100111021102202. Its totient is φ = 100111021102200.

The previous prime is 100111021102181. The next prime is 100111021102241. The reversal of 100111021102201 is 102201120111001.

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., 98693197458025 + 1417823644176 = 9934445^2 + 1190724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111021102201 is a prime.

It is a super-2 number, since 2×100111021102201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100111021102241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055510551100 + 50055510551101.

It is an arithmetic number, because the mean of its divisors is an integer number (50055510551101).

Almost surely, 2^{100111021102201} is an apocalyptic number.

It is an amenable number.

100111021102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111021102201 is an equidigital number, since it uses as much as digits as its factorization.

100111021102201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111021102201 its reverse (102201120111001), we get a palindrome (202312141213202).

The spelling of 100111021102201 in words is "one hundred trillion, one hundred eleven billion, twenty-one million, one hundred two thousand, two hundred one".