101122012001219 has 8 divisors (see below), whose sum is σ = 110364191938560. Its totient is φ = 91888043689800.

The previous prime is 101122012001173. The next prime is 101122012001237. The reversal of 101122012001219 is 912100210221101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101122012001219 - 2³² = 101117717033923 is a prime.

It is a super-2 number, since 2×101122012001219² (a number of 29 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 = 101122012001194 and 101122012001203.

It is not an unprimeable number, because it can be changed into a prime (101122012001239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2052880727 + ... + 2052929984.

It is an arithmetic number, because the mean of its divisors is an integer number (13795523992320).

Almost surely, 2^{101122012001219} is an apocalyptic number.

101122012001219 is a deficient number, since it is larger than the sum of its proper divisors (9242179937341).

101122012001219 is a wasteful number, since it uses less digits than its factorization.

101122012001219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105812961.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 101122012001219 in words is "one hundred one trillion, one hundred twenty-two billion, twelve million, one thousand, two hundred nineteen".