101122313229 has 48 divisors (see below), whose sum is σ = 170961940864. Its totient is φ = 56391552000.

The previous prime is 101122313197. The next prime is 101122313261. The reversal of 101122313229 is 922313221101.

101122313229 is a `hidden beast` number, since 1 + 0 + 1 + 122 + 313 + 229 = 666.

It is an interprime number because it is at equal distance from previous prime (101122313197) and next prime (101122313261).

It is not a de Polignac number, because 101122313229 - 2⁵ = 101122313197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122313269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237969 + ... + 3269049.

Almost surely, 2^101122313229 is an apocalyptic number.

It is an amenable number.

101122313229 is a deficient number, since it is larger than the sum of its proper divisors (69839627635).

101122313229 is a wasteful number, since it uses less digits than its factorization.

101122313229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32338 (or 32335 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 101122313229 in words is "one hundred one billion, one hundred twenty-two million, three hundred thirteen thousand, two hundred twenty-nine".