1010120100113 has 2 divisors, whose sum is σ = 1010120100114. Its totient is φ = 1010120100112.

The previous prime is 1010120100109. The next prime is 1010120100169. The reversal of 1010120100113 is 3110010210101.

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., 607140172864 + 402979927249 = 779192^2 + 634807^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010120100113 - 2² = 1010120100109 is a prime.

It is a super-2 number, since 2×1010120100113² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010120100094 and 1010120100103.

It is not a weakly prime, because it can be changed into another prime (1010120100173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060050056 + 505060050057.

It is an arithmetic number, because the mean of its divisors is an integer number (505060050057).

Almost surely, 2^{1010120100113} is an apocalyptic number.

It is an amenable number.

1010120100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010120100113 is an equidigital number, since it uses as much as digits as its factorization.

1010120100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1010120100113 its reverse (3110010210101), we get a palindrome (4120130310214).

The spelling of 1010120100113 in words is "one trillion, ten billion, one hundred twenty million, one hundred thousand, one hundred thirteen".