101120022112013 has 2 divisors, whose sum is σ = 101120022112014. Its totient is φ = 101120022112012.

The previous prime is 101120022112001. The next prime is 101120022112157. The reversal of 101120022112013 is 310211220021101.

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., 84249139485289 + 16870882626724 = 9178733^2 + 4107418^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120022112013 - 2²⁴ = 101120005334797 is a prime.

It is a super-2 number, since 2×101120022112013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120022111982 and 101120022112000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120022111013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560011056006 + 50560011056007.

It is an arithmetic number, because the mean of its divisors is an integer number (50560011056007).

Almost surely, 2^{101120022112013} is an apocalyptic number.

It is an amenable number.

101120022112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120022112013 is an equidigital number, since it uses as much as digits as its factorization.

101120022112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101120022112013 its reverse (310211220021101), we get a palindrome (411331242133114).

The spelling of 101120022112013 in words is "one hundred one trillion, one hundred twenty billion, twenty-two million, one hundred twelve thousand, thirteen".