2211112100081 has 2 divisors, whose sum is σ = 2211112100082. Its totient is φ = 2211112100080.

The previous prime is 2211112100069. The next prime is 2211112100117. The reversal of 2211112100081 is 1800012111122.

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., 1150129698481 + 1060982401600 = 1072441^2 + 1030040^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211112100081 - 2¹⁸ = 2211111837937 is a prime.

It is a super-2 number, since 2×2211112100081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2211112300081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105556050040 + 1105556050041.

It is an arithmetic number, because the mean of its divisors is an integer number (1105556050041).

Almost surely, 2^{2211112100081} is an apocalyptic number.

It is an amenable number.

2211112100081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211112100081 is an equidigital number, since it uses as much as digits as its factorization.

2211112100081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

The spelling of 2211112100081 in words is "two trillion, two hundred eleven billion, one hundred twelve million, one hundred thousand, eighty-one".