101010121001119 has 16 divisors (see below), whose sum is σ = 115934132968704. Its totient is φ = 87834887800440.

The previous prime is 101010121001099. The next prime is 101010121001129. The reversal of 101010121001119 is 911100121010101.

It is not a de Polignac number, because 101010121001119 - 2⁷ = 101010121000991 is a prime.

It is a super-2 number, since 2×101010121001119² (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 = 101010121001096 and 101010121001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010121001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1649760669 + ... + 1649821894.

It is an arithmetic number, because the mean of its divisors is an integer number (7245883310544).

Almost surely, 2^{101010121001119} is an apocalyptic number.

101010121001119 is a deficient number, since it is larger than the sum of its proper divisors (14924011967585).

101010121001119 is an equidigital number, since it uses as much as digits as its factorization.

101010121001119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299582619 (or 3299582597 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 101010121001119 in words is "one hundred one trillion, ten billion, one hundred twenty-one million, one thousand, one hundred nineteen".