9221111100101 has 2 divisors, whose sum is σ = 9221111100102. Its totient is φ = 9221111100100.

The previous prime is 9221111100049. The next prime is 9221111100143. The reversal of 9221111100101 is 1010011111229.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8939346535876 + 281764564225 = 2989874^2 + 530815^2 .

It is an emirp because it is prime and its reverse (1010011111229) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9221111100101 - 2²² = 9221106905797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9221111100601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4610555550050 + 4610555550051.

It is an arithmetic number, because the mean of its divisors is an integer number (4610555550051).

Almost surely, 2^{9221111100101} is an apocalyptic number.

It is an amenable number.

9221111100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9221111100101 is an equidigital number, since it uses as much as digits as its factorization.

9221111100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 9221111100101 in words is "nine trillion, two hundred twenty-one billion, one hundred eleven million, one hundred thousand, one hundred one".