10122113112029 has 2 divisors, whose sum is σ = 10122113112030. Its totient is φ = 10122113112028.

The previous prime is 10122113111987. The next prime is 10122113112043. The reversal of 10122113112029 is 92021131122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6678761548900 + 3443351563129 = 2584330^2 + 1855627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122113112029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122113111989 and 10122113112007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122113112229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061056556014 + 5061056556015.

It is an arithmetic number, because the mean of its divisors is an integer number (5061056556015).

Almost surely, 2^{10122113112029} is an apocalyptic number.

It is an amenable number.

10122113112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122113112029 is an equidigital number, since it uses as much as digits as its factorization.

10122113112029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 10122113112029 in words is "ten trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred twelve thousand, twenty-nine".