10120011021121 has 2 divisors, whose sum is σ = 10120011021122. Its totient is φ = 10120011021120.

The previous prime is 10120011021101. The next prime is 10120011021137. The reversal of 10120011021121 is 12112011002101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9649168028721 + 470842992400 = 3106311^2 + 686180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120011021121 - 2¹⁷ = 10120010890049 is a prime.

It is a super-2 number, since 2×10120011021121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10120011021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060005510560 + 5060005510561.

It is an arithmetic number, because the mean of its divisors is an integer number (5060005510561).

Almost surely, 2^{10120011021121} is an apocalyptic number.

It is an amenable number.

10120011021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120011021121 is an equidigital number, since it uses as much as digits as its factorization.

10120011021121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10120011021121 its reverse (12112011002101), we get a palindrome (22232022023222).

The spelling of 10120011021121 in words is "ten trillion, one hundred twenty billion, eleven million, twenty-one thousand, one hundred twenty-one".