100111022212261 has 2 divisors, whose sum is σ = 100111022212262. Its totient is φ = 100111022212260.

The previous prime is 100111022212211. The next prime is 100111022212297. The reversal of 100111022212261 is 162212220111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99879916072036 + 231106140225 = 9993994^2 + 480735^2 .

It is an emirp because it is prime and its reverse (162212220111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111022212261 - 2⁹ = 100111022211749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111022212211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055511106130 + 50055511106131.

It is an arithmetic number, because the mean of its divisors is an integer number (50055511106131).

Almost surely, 2^{100111022212261} is an apocalyptic number.

It is an amenable number.

100111022212261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111022212261 is an equidigital number, since it uses as much as digits as its factorization.

100111022212261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 100111022212261 its reverse (162212220111001), we get a palindrome (262323242323262).

The spelling of 100111022212261 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, two hundred twelve thousand, two hundred sixty-one".