1022112101009 has 2 divisors, whose sum is σ = 1022112101010. Its totient is φ = 1022112101008.

The previous prime is 1022112100987. The next prime is 1022112101033. The reversal of 1022112101009 is 9001012112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 977076894784 + 45035206225 = 988472^2 + 212215^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022112101009 - 2¹² = 1022112096913 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022112104009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511056050504 + 511056050505.

It is an arithmetic number, because the mean of its divisors is an integer number (511056050505).

Almost surely, 2^{1022112101009} is an apocalyptic number.

It is an amenable number.

1022112101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022112101009 is an equidigital number, since it uses as much as digits as its factorization.

1022112101009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 1022112101009 in words is "one trillion, twenty-two billion, one hundred twelve million, one hundred one thousand, nine".