10120121001061 has 2 divisors, whose sum is σ = 10120121001062. Its totient is φ = 10120121001060.

The previous prime is 10120121000993. The next prime is 10120121001071. The reversal of 10120121001061 is 16010012102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5715537336961 + 4404583664100 = 2390719^2 + 2098710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120121001061 is a prime.

It is a super-2 number, since 2×10120121001061² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120121001071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060060500530 + 5060060500531.

It is an arithmetic number, because the mean of its divisors is an integer number (5060060500531).

Almost surely, 2^{10120121001061} is an apocalyptic number.

It is an amenable number.

10120121001061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120121001061 is an equidigital number, since it uses as much as digits as its factorization.

10120121001061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10120121001061 its reverse (16010012102101), we get a palindrome (26130133103162).

The spelling of 10120121001061 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one million, one thousand, sixty-one".