101122212319 has 16 divisors (see below), whose sum is σ = 109902458880. Its totient is φ = 92689138080.

The previous prime is 101122212287. The next prime is 101122212329. The reversal of 101122212319 is 913212221101.

It is a cyclic number.

It is not a de Polignac number, because 101122212319 - 2⁵ = 101122212287 is a prime.

It is a super-2 number, since 2×101122212319² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122212293 and 101122212302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122212329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3068202 + ... + 3100984.

It is an arithmetic number, because the mean of its divisors is an integer number (6868903680).

Almost surely, 2^101122212319 is an apocalyptic number.

101122212319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101122212319 is a deficient number, since it is larger than the sum of its proper divisors (8780246561).

101122212319 is a wasteful number, since it uses less digits than its factorization.

101122212319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38070.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 101122212319 in words is "one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, three hundred nineteen".