10120102101121 has 2 divisors, whose sum is σ = 10120102101122. Its totient is φ = 10120102101120.

The previous prime is 10120102101073. The next prime is 10120102101227. The reversal of 10120102101121 is 12110120102101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8818880515600 + 1301221585521 = 2969660^2 + 1140711^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120102101121 - 2¹⁷ = 10120101970049 is a prime.

It is a super-2 number, since 2×10120102101121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10120102111121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060051050560 + 5060051050561.

It is an arithmetic number, because the mean of its divisors is an integer number (5060051050561).

Almost surely, 2^{10120102101121} is an apocalyptic number.

It is an amenable number.

10120102101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120102101121 is an equidigital number, since it uses as much as digits as its factorization.

10120102101121 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 10120102101121 its reverse (12110120102101), we get a palindrome (22230222203222).

It can be divided in two parts, 10120102101 and 121, that multiplied together give a palindrome (1224532354221).

The spelling of 10120102101121 in words is "ten trillion, one hundred twenty billion, one hundred two million, one hundred one thousand, one hundred twenty-one".