10011012022129 has 2 divisors, whose sum is σ = 10011012022130. Its totient is φ = 10011012022128.

The previous prime is 10011012022069. The next prime is 10011012022147. The reversal of 10011012022129 is 92122021011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9979407360400 + 31604661729 = 3159020^2 + 177777^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011012022129 - 2¹⁵ = 10011011989361 is a prime.

It is a super-2 number, since 2×10011012022129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10011012022189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005506011064 + 5005506011065.

It is an arithmetic number, because the mean of its divisors is an integer number (5005506011065).

Almost surely, 2^{10011012022129} is an apocalyptic number.

It is an amenable number.

10011012022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011012022129 is an equidigital number, since it uses as much as digits as its factorization.

10011012022129 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10011012022129 in words is "ten trillion, eleven billion, twelve million, twenty-two thousand, one hundred twenty-nine".