101111211201119 has 8 divisors (see below), whose sum is σ = 115584153010848. Its totient is φ = 86645390158080.

The previous prime is 101111211201109. The next prime is 101111211201137. The reversal of 101111211201119 is 911102112111101.

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 101111211201119 - 2⁴ = 101111211201103 is a prime.

It is a super-2 number, since 2×101111211201119² (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 = 101111211201094 and 101111211201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111211201109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780161242 + ... + 1780218039.

It is an arithmetic number, because the mean of its divisors is an integer number (14448019126356).

Almost surely, 2^{101111211201119} is an apocalyptic number.

101111211201119 is a deficient number, since it is larger than the sum of its proper divisors (14472941809729).

101111211201119 is an equidigital number, since it uses as much as digits as its factorization.

101111211201119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560383345.

The product of its (nonzero) digits is 36, while the sum is 23.

The spelling of 101111211201119 in words is "one hundred one trillion, one hundred eleven billion, two hundred eleven million, two hundred one thousand, one hundred nineteen".