10221011109977 has 2 divisors, whose sum is σ = 10221011109978. Its totient is φ = 10221011109976.

The previous prime is 10221011109929. The next prime is 10221011110069. The reversal of 10221011109977 is 77990111012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9746484388096 + 474526721881 = 3121936^2 + 688859^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221011109977 - 2⁸ = 10221011109721 is a prime.

It is a super-3 number, since 3×10221011109977³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10221011109917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505554988 + 5110505554989.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505554989).

Almost surely, 2^{10221011109977} is an apocalyptic number.

It is an amenable number.

10221011109977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221011109977 is an equidigital number, since it uses as much as digits as its factorization.

10221011109977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 41.

The spelling of 10221011109977 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred nine thousand, nine hundred seventy-seven".