101120102329 has 2 divisors, whose sum is σ = 101120102330. Its totient is φ = 101120102328.

The previous prime is 101120102323. The next prime is 101120102351. The reversal of 101120102329 is 923201021101.

It is an a-pointer prime, because the next prime (101120102351) can be obtained adding 101120102329 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90604010025 + 10516092304 = 301005^2 + 102548^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120102329 - 2⁵ = 101120102297 is a prime.

It is a super-3 number, since 3×101120102329³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101120102323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560051164 + 50560051165.

It is an arithmetic number, because the mean of its divisors is an integer number (50560051165).

Almost surely, 2^101120102329 is an apocalyptic number.

It is an amenable number.

101120102329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120102329 is an equidigital number, since it uses as much as digits as its factorization.

101120102329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 101120102329 in words is "one hundred one billion, one hundred twenty million, one hundred two thousand, three hundred twenty-nine".