101020011221219 has 16 divisors (see below), whose sum is σ = 104539114447872. Its totient is φ = 97564764394368.

The previous prime is 101020011221197. The next prime is 101020011221231. The reversal of 101020011221219 is 912122110020101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101020011221219 is a prime.

It is a super-2 number, since 2×101020011221219² (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 = 101020011221194 and 101020011221203.

It is not an unprimeable number, because it can be changed into a prime (101020011221719) 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, 35498534 + ... + 38238539.

It is an arithmetic number, because the mean of its divisors is an integer number (6533694652992).

Almost surely, 2^{101020011221219} is an apocalyptic number.

101020011221219 is a deficient number, since it is larger than the sum of its proper divisors (3519103226653).

101020011221219 is a wasteful number, since it uses less digits than its factorization.

101020011221219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73737506.

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

The spelling of 101020011221219 in words is "one hundred one trillion, twenty billion, eleven million, two hundred twenty-one thousand, two hundred nineteen".