10022201011129 has 2 divisors, whose sum is σ = 10022201011130. Its totient is φ = 10022201011128.

The previous prime is 10022201011111. The next prime is 10022201011171. The reversal of 10022201011129 is 92111010222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8638396983225 + 1383804027904 = 2939115^2 + 1176352^2 .

It is an emirp because it is prime and its reverse (92111010222001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10022201011129 - 2¹⁷ = 10022200880057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022201011729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011100505564 + 5011100505565.

It is an arithmetic number, because the mean of its divisors is an integer number (5011100505565).

Almost surely, 2^{10022201011129} is an apocalyptic number.

It is an amenable number.

10022201011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022201011129 is an equidigital number, since it uses as much as digits as its factorization.

10022201011129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10022201011129 in words is "ten trillion, twenty-two billion, two hundred one million, eleven thousand, one hundred twenty-nine".